{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 用户和活动关联关系处理\n",
    "\n",
    "\n",
    "整个数据集中活动数目（events.csv）太多，所以下面的处理我们找出只在训练集和测试集中出现的活动和用户集合，并对他们重新编制索引"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "#保存数据\n",
    "import cPickle\n",
    "\n",
    "import itertools\n",
    "\n",
    "#处理事件字符串\n",
    "import datetime\n",
    "\n",
    "import numpy as np\n",
    "import scipy.io as sio\n",
    "import scipy.sparse as ss\n",
    "\n",
    "#相似度/距离\n",
    "import scipy.spatial.distance as ssd\n",
    "\n",
    "from collections import defaultdict\n",
    "from sklearn.preprocessing import normalize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "number of uniqueUsers :3391\n",
      "number of uniqueEvents :13418\n"
     ]
    }
   ],
   "source": [
    " \"\"\"\n",
    "我们只关心train和test中出现的user和event，因此重点处理这部分关联数据\n",
    "\n",
    "train.csv 有6列：\n",
    "user：用户ID\n",
    "event：活动ID\n",
    "invited：是否被邀请（0/1）\n",
    "timestamp：ISO-8601 UTC格式时间字符串，表示用户看到该活动的时间\n",
    "interested, and not_interested\n",
    "\n",
    "Test.csv 除了没有interested, and not_interested，其余列与train相同\n",
    " \"\"\"\n",
    "    \n",
    "# 统计训练集中有多少不同的用户的events\n",
    "uniqueUsers = set()\n",
    "uniqueEvents = set()\n",
    "\n",
    "#倒排表\n",
    "#统计每个用户参加的活动   / 每个活动参加的用户\n",
    "eventsForUser = defaultdict(set)\n",
    "usersForEvent = defaultdict(set)\n",
    "    \n",
    "for filename in [\"train.csv\", \"test.csv\"]:\n",
    "    f = open(filename, 'rb')\n",
    "    \n",
    "    #忽略第一行（列名字）\n",
    "    f.readline().strip().split(\",\")\n",
    "    \n",
    "    for line in f:    #对每条记录\n",
    "        cols = line.strip().split(\",\")\n",
    "        uniqueUsers.add(cols[0])   #第一列为用户ID\n",
    "        uniqueEvents.add(cols[1])   #第二列为活动ID\n",
    "        \n",
    "        #eventsForUser[cols[0]].add(cols[1])    #该用户参加了这个活动\n",
    "        #usersForEvent[cols[1]].add(cols[0])    #该活动被用户参加\n",
    "    f.close()\n",
    "\n",
    "\n",
    "n_uniqueUsers = len(uniqueUsers)\n",
    "n_uniqueEvents = len(uniqueEvents)\n",
    "\n",
    "print(\"number of uniqueUsers :%d\" % n_uniqueUsers)\n",
    "print(\"number of uniqueEvents :%d\" % n_uniqueEvents)\n",
    "\n",
    "#用户关系矩阵表，可用于后续LFM/SVD++处理的输入\n",
    "#这是一个稀疏矩阵，记录用户对活动感兴趣\n",
    "userEventScores = ss.dok_matrix((n_uniqueUsers, n_uniqueEvents))\n",
    "userIndex = dict()\n",
    "eventIndex = dict()\n",
    "\n",
    "#重新编码用户索引字典\n",
    "for i, u in enumerate(uniqueUsers):\n",
    "    userIndex[u] = i\n",
    "    \n",
    "#重新编码活动索引字典    \n",
    "for i, e in enumerate(uniqueEvents):\n",
    "    eventIndex[e] = i\n",
    "\n",
    "n_records = 0\n",
    "ftrain = open(\"train.csv\", 'rb')\n",
    "ftrain.readline()\n",
    "for line in ftrain:\n",
    "    cols = line.strip().split(\",\")\n",
    "    i = userIndex[cols[0]]  #用户\n",
    "    j = eventIndex[cols[1]] #活动\n",
    "    \n",
    "    eventsForUser[i].add(j)    #该用户参加了这个活动\n",
    "    usersForEvent[j].add(i)    #该活动被用户参加\n",
    "        \n",
    "    #userEventScores[i, j] = int(cols[4]) - int(cols[5])   #interested - not_interested\n",
    "    score = int(cols[4])\n",
    "    #if score == 0:  #0在稀疏矩阵中表示该元素不存在，因此借用-1表示interested=0\n",
    "    #userEventScores[i, j] = -1\n",
    "    #else:\n",
    "    userEventScores[i, j] = score\n",
    "ftrain.close()\n",
    "\n",
    "  \n",
    "##统计每个用户参加的活动，后续用于将用户朋友参加的活动影响到用户\n",
    "cPickle.dump(eventsForUser, open(\"PE_eventsForUser.pkl\", 'wb'))\n",
    "##统计活动参加的用户\n",
    "cPickle.dump(usersForEvent, open(\"PE_usersForEvent.pkl\", 'wb'))\n",
    "\n",
    "#保存用户-活动关系矩阵R，以备后用\n",
    "sio.mmwrite(\"PE_userEventScores\", userEventScores)\n",
    "\n",
    "\n",
    "#保存用户索引表\n",
    "cPickle.dump(userIndex, open(\"PE_userIndex.pkl\", 'wb'))\n",
    "#保存活动索引表\n",
    "cPickle.dump(eventIndex, open(\"PE_eventIndex.pkl\", 'wb'))\n",
    "\n",
    "    \n",
    "# 为了防止不必要的计算，我们找出来所有关联的用户 或者 关联的event\n",
    "# 所谓的关联用户，指的是至少在同一个event上有行为的用户pair\n",
    "# 关联的event指的是至少同一个user有行为的event pair\n",
    "uniqueUserPairs = set()\n",
    "uniqueEventPairs = set()\n",
    "for event in uniqueEvents:\n",
    "    i = eventIndex[event]\n",
    "    users = usersForEvent[i]\n",
    "    if len(users) > 2:\n",
    "        uniqueUserPairs.update(itertools.combinations(users, 2))\n",
    "        \n",
    "for user in uniqueUsers:\n",
    "    u = userIndex[user]\n",
    "    events = eventsForUser[u]\n",
    "    if len(events) > 2:\n",
    "        uniqueEventPairs.update(itertools.combinations(events, 2))\n",
    " \n",
    "#保存用户-事件关系对索引表\n",
    "cPickle.dump(uniqueUserPairs, open(\"FE_uniqueUserPairs.pkl\", 'wb'))\n",
    "cPickle.dump(uniqueEventPairs, open(\"PE_uniqueEventPairs.pkl\", 'wb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#训练集和测试集中出现的用户数目和事件数目远小于users.csv出现的用户数和events.csv出现的事件数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "defaultdict(<type 'set'>, {4: set([11522, 12426, 7533, 8729, 11386, 3837]), 5: set([1729, 5863, 2891, 876, 6125, 6130]), 8: set([273, 1706, 796, 12334]), 10: set([11206, 5863, 876, 6130, 4089, 4667]), 11: set([13416, 2410, 749, 6383, 11512, 1656, 8666, 6908, 2269]), 14: set([8995, 5703, 651, 10190, 5585, 7128]), 16: set([35, 11845, 11215, 9265, 9298, 3503, 2597]), 19: set([11168, 1952, 12354, 12231, 13320, 9514, 295, 1836, 621, 11975, 10927, 4720, 2643, 10932, 7309, 1615, 28, 13183]), 20: set([11206, 876, 1136, 184, 4089, 4667]), 21: set([1328, 8165, 10155, 2190, 6864, 4948]), 22: set([8513, 9090, 2051, 836, 8357, 5155, 1811, 10233, 11967, 6623]), 23: set([10890, 4122, 5558, 983, 1656, 7162, 2410]), 25: set([9957, 7633, 944, 1585, 1178, 2300, 7645, 11685]), 26: set([7169, 6823, 8811, 11281, 3992, 11323, 11325]), 27: set([13059, 13094, 5072, 2234, 1466, 6590]), 28: set([1729, 3593, 876, 6445, 8208, 4667]), 29: set([5155, 10779, 364, 11727]), 32: set([12609, 7843, 1092, 1706, 13068, 12334, 1656, 4025, 7162, 4763, 796]), 34: set([11202, 10565, 13128, 8843, 12642, 11976, 10719]), 35: set([10765, 10894, 7826, 4828, 1843, 5307, 12480, 1859, 3150, 6225, 10963, 6102, 2140, 9693, 13407, 6114, 3813, 5607, 12395, 8428, 5230, 6132, 12540, 11645, 11006, 383]), 37: set([12740, 10183, 3036, 144, 7253, 3642, 8540]), 38: set([10408, 5337, 7733, 3096, 6622]), 39: set([7169, 10539, 208, 3377, 407, 10682, 9244, 3770]), 42: set([705, 11363, 358, 11505, 11306, 3133, 10801, 2691, 9012, 1656, 3001, 8666, 7162]), 45: set([9540, 8461, 13397, 3542, 1656, 1924]), 47: set([1152, 196, 1294, 6969, 8984, 11236]), 51: set([1729, 5863, 2891, 876, 12301, 4667]), 52: set([3009, 5155, 9680, 12504, 796, 4061]), 53: set([10259, 12247, 9587, 4341, 2519, 2970]), 57: set([8673, 6377, 939, 5043, 10359, 6363]), 59: set([704, 4042, 11275, 1740, 4557, 12462, 6549, 12701, 2046, 1215]), 61: set([7843, 1706, 5072, 1656, 7162, 796]), 62: set([7650, 3246, 12789, 7543, 7960, 5210]), 63: set([5856, 7105, 88, 5400, 2110, 4287]), 64: set([8694, 1767, 2825, 8394, 3698, 11826, 8470, 2366, 351]), 66: set([2082, 10851, 8618, 3531, 4955, 3454]), 67: set([7843, 1706, 8875, 10865, 1656, 7162, 796]), 71: set([6340, 12188, 11101, 6032, 5366, 1308, 2461]), 74: set([6561, 8133, 8006, 553, 9295, 12304]), 75: set([1217, 6566, 743, 776, 12842, 3725]), 78: set([546, 5732, 1449, 8682, 3244, 11186, 8951]), 79: set([6978, 9379, 8836, 11783, 10123, 2031, 12725, 950, 2271]), 80: set([8480, 7169, 12043, 2384, 8697, 9244]), 81: set([3908, 12936, 7117, 8146, 5526, 13111]), 82: set([2410, 7158, 1656, 476, 3517, 12574]), 83: set([8102, 6246, 6736, 819, 11158, 3479, 507]), 85: set([3917, 7215, 12305, 1913, 3503, 2302]), 89: set([775, 1482, 9583, 10612, 9273, 10895]), 91: set([5848, 3044, 2410, 2124, 12305, 7158, 1656, 2554, 12574]), 92: set([11835, 876, 6125, 10575, 6130, 4089, 667]), 93: set([9061, 12808, 1432, 9908, 7989, 183, 4824, 11444]), 94: set([7520, 6851, 3181, 13080, 11322, 8667]), 95: set([1729, 667, 876, 184, 4089, 4667]), 98: set([71, 12361, 7276, 6941, 7440, 9661]), 100: set([1729, 11206, 876, 6445, 4089, 4667]), 101: set([9736, 876, 10575, 9433, 4089, 4667]), 102: set([262, 12359, 11210, 4775, 4788, 3451]), 103: set([1729, 9736, 2891, 876, 8282, 4667]), 105: set([1730, 12837, 6223, 1656, 7162, 6747]), 108: set([3528, 5193, 2990, 11855, 3763, 13399, 11066]), 109: set([11206, 8287, 8180, 4667, 9916, 1503]), 110: set([10883, 12137, 683, 13292, 12621, 4349, 9489, 3827, 5372, 2838, 5274, 11964, 12762, 9886]), 111: set([12449, 3908, 1386, 6327, 4794, 5981]), 112: set([5831, 10547, 13110, 3513, 8540, 7038]), 113: set([2178, 5828, 4072, 12978, 10997, 1786, 156]), 115: set([10784, 10104, 9778, 3606]), 117: set([3233, 12356, 9733, 12583, 11626, 8717, 9200, 10203, 3594, 4129]), 119: set([5856, 10848, 4932, 5398, 974, 434, 10934, 5335, 4122, 6653]), 120: set([10146, 5092, 8723, 3514, 7259, 7295]), 122: set([2891, 876, 10575, 6130, 184, 4089]), 123: set([8756, 3605, 11063, 9689, 4351, 6174, 5279]), 124: set([1656, 2410, 2124, 11858, 9649, 12594, 7158, 5880]), 129: set([864, 8352, 7554, 1283, 3908, 4769, 83]), 131: set([1729, 876, 9360, 8721, 6130, 2229, 4667]), 132: set([6682, 6458, 6222, 7055]), 134: set([3617, 4547, 8678, 11079, 8458, 6190]), 136: set([2691, 10439, 2730, 1656, 7162, 2410, 4094]), 137: set([2574, 8759, 5081, 3804, 7198, 1535]), 138: set([1093, 6825, 4733, 3995, 3005, 3935]), 139: set([2662, 2982, 1964, 8722, 4277, 1082]), 140: set([8514, 7684, 9797, 1740, 8076, 10633, 2404, 9243, 349]), 141: set([3473, 10388, 3929, 11386, 10971, 7164, 26]), 142: set([10433, 2663, 2056, 10474, 11695, 10248, 1199, 509]), 146: set([3908, 5221, 11307, 11308, 11342, 8889]), 147: set([2498, 358, 10439, 11916, 12624, 4094]), 148: set([876, 6445, 10575, 9686, 4089, 4667]), 149: set([4480, 13191, 9614, 1721, 7162, 10973]), 150: set([9826, 5613, 9007, 144, 3642, 13342]), 151: set([6597, 2953, 2574, 7857, 3411, 5081, 7322, 11196]), 152: set([876, 10575, 9360, 6130, 2229, 4667]), 153: set([3041, 13187, 12166, 1642, 1107, 11608]), 156: set([10520, 1656, 5081, 7162, 9950, 1535]), 160: set([5383, 1321, 10063, 6103, 5562, 3967]), 161: set([4003, 6439, 12113, 2515, 5083, 7806]), 163: set([9793, 12035, 8828, 7664, 2449, 11989, 11031, 4156]), 164: set([138, 8684, 1393, 1074, 2168, 2686]), 165: set([1729, 4667, 11206, 876, 7981, 6445, 667]), 166: set([5697, 10539, 208, 3377, 3510, 10682, 9244]), 168: set([5863, 2891, 876, 6125, 2934, 9433]), 169: set([8992, 321, 7843, 1706, 7150, 1656, 7162, 4893]), 171: set([7162, 5692, 1706, 981]), 172: set([7299, 7150, 9202, 3097, 3517, 9471]), 173: set([10562, 5699, 12932, 3469, 789, 5558, 5400, 4122, 4287]), 174: set([7681, 13378, 10659, 3503, 7158, 1656, 3065, 5693]), 175: set([10913, 8386, 12708, 6949, 9287, 3786, 9762, 9295, 1656, 3187, 12949, 9526, 13111, 4760, 7643, 13148, 4957]), 176: set([8526, 5167, 6011, 6428, 3646, 4831]), 177: set([9574, 5224, 10154, 7085, 5304, 3382, 12920]), 179: set([12582, 8364, 6288, 12434, 8439, 11801]), 180: set([8002, 3204, 10567, 6505, 12622, 9017, 10462]), 182: set([3936, 7651, 11687, 8300, 11123, 12121]), 183: set([5863, 2891, 876, 6125, 10575, 6130, 8282, 4667]), 185: set([8610, 9826, 4208, 2524, 7389, 8062]), 188: set([2049, 7516, 10609, 7768, 6011, 6428]), 189: set([3266, 12647, 2504, 12329, 12170, 3920, 1169, 2003, 1846, 4489, 13336, 4445]), 194: set([8999, 360, 9100, 6296, 11801, 5308]), 195: set([467, 1656, 7162, 7291, 7164, 11999]), 196: set([11521, 12134, 5768, 5308, 4812, 11801, 12668]), 197: set([12908, 876, 6125, 10575, 9360, 6130, 184, 4089]), 198: set([8324, 12743, 8079, 9208, 2106, 6459, 11836]), 199: set([10017, 11435, 3020, 3149, 2804, 10525]), 200: set([7392, 5772, 6036, 8343, 1341, 4415]), 201: set([1729, 876, 6445, 10575, 6130, 2229, 4667]), 202: set([13248, 7168, 2562, 10245, 6951, 4780, 10188, 3503, 9503]), 206: set([9537, 4450, 7657, 4036, 12449, 12888, 4585, 7564, 6763, 11308, 12493, 11342, 12303, 13111, 3886, 8201, 9208, 132, 6849, 5725, 6741]), 208: set([7843, 2020, 7653, 12518, 4359, 1706, 3821, 976, 12084, 1656, 796, 9183]), 209: set([10145, 9474, 13136, 9012, 5883, 2269]), 211: set([2536, 9530, 3234, 9498, 170]), 212: set([3137, 100, 7713, 13295, 3161, 5597]), 214: set([7521, 898, 5467, 4388, 5541, 7302, 7271, 10029, 9293, 9744, 11505, 5843, 2395, 9471]), 217: set([12936, 11146, 943, 83, 5144, 5723]), 219: set([10048, 869, 10156, 11476, 6299, 10877]), 221: set([4706, 11428, 7340, 7756, 5650, 11995, 2271]), 222: set([3045, 12909, 88, 3128, 5467, 5534]), 223: set([10848, 12449, 1581, 11666, 7253, 5981]), 224: set([8513, 10882, 7201, 6662, 1159, 5387]), 226: set([9023, 2983, 7401, 2055, 7348, 12917, 5240, 12283, 3231]), 227: set([2499, 1287, 5770, 12556, 11446, 4984, 1785, 11035]), 228: set([8514, 3780, 9928, 12781, 3059, 308, 7829, 5752]), 229: set([6241, 6117, 6097, 2574, 5456, 6705, 5081]), 230: set([7463, 12092, 4206, 7255, 6139, 10620]), 231: set([2410, 7162, 1011, 9012, 1494, 1656, 8666, 2269]), 233: set([9736, 876, 6125, 7981, 8282, 4667]), 236: set([4579, 11081, 11787, 3024, 7386, 5884]), 239: set([13122, 3268, 6748, 7916, 8143, 11092, 2044]), 240: set([10848, 2573, 405, 9208, 2651, 3485]), 241: set([611, 8292, 205, 9488, 950, 7769]), 243: set([8643, 13383, 7178, 11559, 6741, 3321]), 244: set([7521, 13378, 6212, 10029, 11858, 2453, 3517]), 249: set([675, 1479, 105, 5199, 5522, 4035, 9961]), 252: set([7649, 2178, 6055, 10754, 9647, 12978, 10997, 734]), 254: set([9098, 5699, 4188, 1386, 4758]), 255: set([10274, 2442, 2411, 752, 9460, 5726]), 256: set([1475, 12676, 9296, 5393, 10485, 12412, 5758]), 257: set([2400, 9315, 2470, 5638, 11561, 1130, 12491, 2327, 1656, 905, 5400, 3127, 4287, 2013, 415]), 259: set([676, 9365, 6486, 511]), 260: set([368, 3680, 4131, 7755, 2997]), 262: set([2560, 1379, 12854, 11112, 12457, 2570, 7757, 12014, 3151, 496, 9219, 3574, 4702, 11551]), 263: set([4420, 5702, 12461, 8625, 11801, 10911]), 264: set([12992, 4160, 5866, 10359, 6363, 2271]), 265: set([13059, 5284, 6309, 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3792, 12754, 5907, 11614]), 292: set([3782, 10609, 4597, 6935, 6011, 7516]), 293: set([7843, 2410, 12334, 4750, 8931, 5365, 1656, 7162]), 295: set([6724, 6214, 4146, 8536, 12958, 4095]), 297: set([321, 7843, 1706, 1656, 7162, 796]), 298: set([3105, 5206, 12074, 1869, 5268, 2422, 10975]), 300: set([3969, 3503, 5836, 8201, 3513]), 301: set([11206, 876, 6125, 4433, 2934, 184, 4089]), 305: set([7968, 7361, 1318, 12422, 6727, 7176, 107, 12755, 7976, 625, 10962, 11475, 4148, 8823, 6151, 5786, 6967]), 306: set([4259, 3652, 1239, 2136, 156, 7423]), 307: set([3362, 9379, 8234, 6978, 10006, 2271]), 310: set([10208, 4263, 10186, 13017, 13308, 3262]), 311: set([3908, 6378, 12268, 11998]), 313: set([1155, 6917, 4584, 9390, 4840, 11669]), 314: set([2410, 12114, 12020, 5365, 1656, 7162]), 317: set([7843, 2410, 722, 1656, 7162, 12379, 796, 1706]), 319: set([1158, 169, 12627, 1334, 4697, 3836]), 320: set([7843, 1706, 9104, 1656, 793, 7162, 796, 2410, 4094]), 323: set([2304, 13025, 129, 6249, 12046, 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11850, 1706, 9198, 976, 1656, 7162, 796, 2410]), 768: set([6387, 10665, 6386, 2099, 7732, 9882]), 770: set([2528, 11225, 10412, 4684]), 771: set([1729, 876, 10575, 184, 4089, 4667]), 776: set([648, 393, 6893, 9586, 3385, 1274, 698]), 777: set([2752, 11206, 9736, 876, 13047, 9932, 7981, 2226, 2229, 1911, 7929, 4667]), 781: set([10177, 11867, 6502, 5543, 2929, 3955, 9691, 1148, 6845, 31]), 782: set([103, 13385, 2410, 9012, 6807, 1656, 2964, 8666, 5883, 7162]), 784: set([3744, 13153, 8304, 8695, 9337, 12634, 5663]), 787: set([7843, 836, 2410, 1656, 7162, 1706]), 789: set([5728, 7328, 5155, 13412, 809, 5420, 12949, 3546, 3325, 9119]), 791: set([7905, 10758, 2505, 1072, 1279, 9311]), 792: set([3362, 9379, 6978, 2319, 10083, 12728, 2271]), 794: set([6691, 12168, 5577, 1647, 6840, 4190]), 796: set([6978, 11335, 361, 11692, 10006, 2271]), 797: set([518, 10439, 6634, 7879, 9870, 4113, 6322, 1656, 7162, 4094]), 799: set([10470, 10159, 6000, 7291, 6556, 5661]), 800: set([8400, 386, 11171, 8745, 13099, 9934, 2352, 12692, 1849]), 801: set([7169, 10539, 208, 3510, 407, 3770, 9244, 10682]), 804: set([5256, 141, 7057, 5138, 13078, 7869]), 805: set([9379, 8081, 5170, 12149, 1883, 11517]), 806: set([8802, 5411, 8326, 7341, 3826, 121]), 810: set([2620, 4723, 11477, 13273, 9628, 1246]), 812: set([506, 10946, 267, 9039, 10673, 10489, 5818, 5242]), 813: set([7843, 9833, 1706, 1656, 7162, 796]), 814: set([68, 3366, 11270, 7687, 3917, 441, 7902]), 818: set([10439, 1656, 3730, 8504, 7162, 4094]), 819: set([3297, 580, 4997, 5639, 4976, 1358, 11361, 8368, 6737, 5272, 8996, 9022]), 820: set([13376, 11074, 9509, 3428, 2262, 3335, 2152, 12265, 11853, 9549, 4594, 10546, 10516, 10613, 3990, 2551, 6043, 11805, 8661]), 821: set([3056, 8418, 3205, 3494, 7208, 11945, 12364, 4688, 13233, 8850, 11443, 9204]), 823: set([12449, 3908, 7253, 5526, 13111, 88, 10015]), 824: set([5978, 6627, 6210, 5254, 10671]), 825: set([6084, 10023, 12297, 11147, 9808, 13236, 12089, 4639]), 826: set([961, 11574, 7668, 534, 1915, 2134]), 827: set([12352, 12259, 13255, 7807, 3917, 11022, 3503, 9392, 88, 6771, 3284, 11637, 919, 12984, 11135, 7323, 373]), 828: set([7566, 1758, 7158, 1656, 5594, 2110]), 829: set([8354, 12456, 9, 8204, 10959, 3857, 2034, 2037, 5754, 10607, 5405]), 830: set([1729, 11206, 5863, 9736, 876, 4667]), 833: set([3593, 876, 6125, 10575, 9360, 8282]), 834: set([4802, 5763, 5299, 6730, 7523, 11930]), 835: set([3452, 356, 9910, 4744, 4393, 10668, 10701, 2574, 12880, 7857, 11731, 12757, 3606, 8729, 5081, 7162, 6876, 11807]), 836: set([7169, 5474, 8780, 5390, 1437, 1400, 6650, 11323, 9244, 11325, 8127]), 839: set([1729, 11206, 9066, 8208, 9751, 4667]), 840: set([10240, 1546, 10381, 12847, 8020, 13270, 13178]), 843: set([10467, 452, 12263, 11887, 4401, 6287]), 844: set([7843, 1706, 13163, 11569, 821, 1656, 7162, 4061, 4094]), 845: set([10891, 1188, 10888, 427, 529, 2515, 4003]), 846: set([7618, 13059, 8485, 4610, 7857, 11513, 4860]), 847: set([672, 3131, 10180, 8136, 4169, 2604, 333, 8111, 5814, 10648, 7611, 7615]), 848: set([6048, 11906, 6152, 1045, 375, 1978]), 849: set([9288, 202, 237, 4049, 2226, 1911]), 850: set([256, 10059, 12587, 8061, 4527, 1213]), 851: set([6496, 1673, 4981, 4105, 7897, 8892]), 853: set([5984, 2949, 4077, 11538, 1048, 12954, 10267, 6812, 7326, 9631, 4897, 8356, 6693, 811, 12974, 1711, 10928, 3122, 4793, 12091, 8633, 9668, 10053, 457, 12876, 11856, 13138, 9684, 7895, 2781, 3660, 11753, 2925, 3950, 10740, 8954, 10365]), 857: set([8291, 11269, 6919, 876, 12013, 9581, 5571, 8505]), 859: set([11842, 2380, 6319, 11440, 7700, 11543]), 860: set([10977, 5250, 12675, 260, 13090, 79, 5816, 13123, 10584, 11932, 8573, 12799]), 862: set([9315, 5558, 11721, 9837, 12822, 5400, 4090, 4122]), 864: set([12493, 5293, 7985, 9589, 6360, 13146]), 866: set([8993, 3908, 9513, 8079, 8280, 2106, 11389, 5950]), 868: set([344, 9130, 4880, 6385, 12918, 10072, 668]), 869: set([6819, 8332, 9066, 9932, 2226, 1911]), 870: set([9797, 7464, 8076, 2735, 9138, 4755, 7640]), 872: set([3515, 9676, 4788, 8155, 9500, 7741]), 873: set([5863, 2891, 876, 10575, 2934, 567, 9433, 4254]), 876: set([12029, 4553, 5453, 3215, 3763, 5917, 6878]), 878: set([11875, 2917, 1292, 849, 1268, 4665]), 880: set([10944, 8880, 12793, 4985, 12285, 11519]), 881: set([6823, 8624, 11281, 3992, 377, 9244]), 883: set([258, 5515, 8493, 1976, 1212, 8477, 8767]), 886: set([4302, 3928, 9012, 1656, 10233, 7162]), 891: set([385, 9826, 11559, 1581, 3542, 5783]), 892: set([976, 7843, 2746, 4359, 8456, 1706, 1707, 5676, 9198, 4336, 1656, 7162, 2410]), 893: set([11748, 5468, 8077, 4945, 8402, 1236, 1972, 6772, 2271]), 894: set([1548, 8942, 6578, 2067, 12116, 3576, 5332, 11930]), 897: set([6062, 11118, 13072, 341, 13182, 8607]), 902: set([3963, 9252, 11374, 3312, 6339, 5979]), 904: set([8388, 2026, 5329, 11606, 2649, 11678]), 909: set([10432, 12610, 4003, 10244, 10919, 8265, 8559, 9268, 149, 6615, 728, 4927]), 911: set([7691, 3793, 4212, 7253, 13111, 6648]), 912: set([8196, 12037, 12486, 7697, 344, 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12837, 4655, 7474, 1098, 577, 10947, 11977, 10442, 3415, 8666, 37, 2656, 5088, 5098, 1656, 6137, 7162]), 947: set([10978, 12774, 937, 8308, 4182, 4731, 9630]), 948: set([10848, 11457, 5221, 6989, 5136, 12888]), 952: set([12747, 2141, 4758, 1591]), 955: set([10688, 7557, 11563, 3917, 5368, 5981]), 956: set([12646, 10791, 4232, 2958, 7249, 12598, 11927, 6012]), 957: set([1065, 6558, 6711, 3800, 5785, 1694]), 958: set([7843, 12744, 2410, 10862, 11567, 1656, 7162, 796, 1706, 3870]), 959: set([11172, 2574, 7857, 82, 7214, 5081, 7163, 9950]), 963: set([2272, 5184, 9540, 8267, 10464, 13111]), 965: set([2574, 7857, 1656, 4122, 7162, 5400]), 966: set([3657, 12317, 11279, 10006, 1529, 11034, 602]), 967: set([4481, 6531, 2310, 10061, 6523, 4862, 8383]), 970: set([5558, 10890, 10157, 3542, 7162, 4122]), 971: set([11488, 3908, 2022, 7117, 12401, 11998]), 972: set([7969, 6180, 8166, 3623, 3986, 9436]), 973: set([3362, 12581, 3753, 10359, 6508, 13229, 8336, 5910, 11223, 4728, 11692, 357]), 974: set([709, 5619, 12630, 915, 542, 11781]), 975: set([9155, 11213, 211, 4278, 10455, 8250]), 976: set([5379, 11141, 7851, 9043, 7990, 6131]), 977: set([3113, 3372, 12721, 3542, 8376, 1630]), 980: set([9208, 3485, 1581, 9262, 6309]), 981: set([995, 615, 2410, 6223, 10640, 9012, 1656]), 983: set([4937, 10058, 10411, 3280, 596, 7737]), 984: set([12449, 4898, 3908, 302, 7172, 4218]), 988: set([3936, 12776, 2480, 8854, 12350, 4383]), 989: set([8804, 488, 13103, 1684, 3993, 5807]), 990: set([6146, 7044, 13322, 11180, 2736, 3699, 6740, 9752]), 993: set([9730, 10334, 1556, 13333, 664, 5182]), 994: set([2977, 6244, 9160, 5097, 5907, 5513, 10015]), 995: set([10118, 10348, 5838, 4113, 3546, 156]), 996: set([11009, 289, 6887, 6793, 3693, 12048, 5077, 9141]), 997: set([7163, 8371, 3542, 9279]), 998: set([2271, 12549, 10737, 3657, 5866, 10359, 11692, 6377, 8913, 3795, 5910, 2743, 2655, 6363, 5727]), 1001: set([4612, 7430, 5530, 7228, 7485, 7518]), 1002: set([6850, 580, 726, 5031, 7535, 6678]), 1007: set([10979, 10372, 10342, 9384, 10487, 11308, 7535, 784, 13009, 9566, 11573, 11735, 12888, 7065, 9790]), 1008: set([12888, 9989, 10398, 10437]), 1010: set([6296, 8609, 4908, 11342, 4518]), 1013: set([3523, 3143, 10921, 5618, 12084, 11862]), 1014: set([1944, 7689, 2005, 13294, 512]), 1015: set([6918, 10921, 12145, 1811, 4443, 4061]), 1016: set([9091, 12712, 4623, 10163, 5781, 5787]), 1017: set([9447, 9262, 373, 13111, 11802, 7323, 5534]), 1018: set([3555, 11208, 13101, 7029, 9048, 11733]), 1022: set([7192, 283, 10556, 5894]), 1023: set([876, 12908, 6125, 6445, 4089, 8282]), 1024: set([10215, 7338, 10091, 11026, 4199, 11114]), 1025: set([12837, 4301, 9201, 9012, 9368, 88]), 1027: set([1729, 5863, 876, 10575, 6130, 4667]), 1028: set([6802, 3340, 5861, 8830]), 1029: set([1292, 813, 4558, 654, 1689, 4956]), 1031: set([5410, 2601, 9197, 1841, 7411, 10153]), 1033: set([7974, 4742, 5542, 4873, 4440, 2430]), 1034: set([803, 11561, 6510, 7024, 11802, 411, 10174]), 1035: set([7023, 8809, 4394, 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1148: set([9513, 10283, 13356, 11389, 83, 9885]), 1150: set([7843, 1706, 9198, 976, 9878, 1656, 7162, 796, 2410]), 1152: set([7308, 7532, 7215, 1080, 7535, 2172, 11998]), 1154: set([7016, 7800, 8839, 4141, 2255]), 1155: set([5953, 13382, 9191, 2876, 6155, 11772]), 1157: set([8321, 10436, 7, 5384, 7511, 3985, 1928, 4247]), 1158: set([1729, 3593, 876, 6125, 8208, 4089, 4667]), 1160: set([11783, 9450, 7443, 10006, 2391, 13371]), 1161: set([13319, 13359, 10769, 274, 1145, 8447]), 1162: set([1729, 9066, 8208, 2226, 1911, 4667]), 1163: set([12067, 7209, 6256, 11192, 2045, 10175]), 1165: set([7648, 7685, 10065, 6263, 9276, 7581, 2175]), 1166: set([8683, 5992, 2890, 9995, 6479, 9943, 10681]), 1168: set([10273, 5450, 2702, 4054, 10586, 4476, 5438]), 1171: set([876, 10575, 12277, 184, 4089, 13309]), 1172: set([7234, 4900, 5677, 10450, 7549, 11870]), 1173: set([7843, 4359, 10159, 1656, 7162, 2746]), 1176: set([876, 5167, 10234, 6011, 6428, 3646]), 1177: set([11206, 876, 7981, 12305, 4089, 4667]), 1178: set([11579, 7465, 12458, 10251, 9260, 8301, 3675]), 1179: set([481, 12966, 2730, 5583, 10579, 12536, 7162]), 1180: set([7169, 2819, 1831, 5390, 689, 2388]), 1181: set([12513, 1074, 13299, 4500, 8342, 5620]), 1182: set([2587, 5467, 4732, 11998, 11342]), 1183: set([7494, 10630, 7977, 11889, 11798, 5085]), 1185: set([9344, 11433, 13329, 9367, 3290, 3486]), 1188: set([10339, 7819, 11662, 5907, 8765, 990]), 1189: set([2891, 7981, 9519, 8079, 2844, 6125]), 1190: set([1889, 7843, 4868, 10921, 1706, 10861, 593, 8050, 3523, 11288, 9315, 796]), 1191: set([9004, 1356, 10735, 8083, 7956, 13143, 7257, 12059, 6620]), 1194: set([12449, 132, 5221, 8753, 11349, 7253]), 1195: set([194, 1635, 11303, 9498, 12699, 3519]), 1197: set([5872, 9195, 4684, 11664, 5308, 9471]), 1198: set([2305, 12835, 8452, 6760, 3632, 3459]), 1199: set([6819, 7981, 5262, 2226, 5396, 1911]), 1200: set([4635, 781, 8822, 422]), 1205: set([6674, 11206, 12908, 876, 7981, 6130]), 1206: set([12469, 5860, 5318, 8520, 12492, 10698, 2764, 10766, 8847, 4272, 6801, 7317, 8982, 1561, 11706, 5660, 8189, 2325]), 1207: set([4387, 1227, 4140, 8917, 6233, 11484, 4573]), 1209: set([11353, 1098, 6171, 6275, 4726]), 1210: set([5155, 12070, 3016, 10609, 12919, 7768, 7516]), 1212: set([2338, 7971, 11140, 13398, 223, 10056, 3588, 5488, 8024, 11410, 9747, 7285, 12534, 11959, 344, 7556, 8351, 10366, 213]), 1213: set([9208, 12747, 9262, 13111]), 1215: set([4289, 9922, 10539, 9189, 9244, 8811, 8652, 11629, 11325, 208, 3377, 11027, 11317, 3510, 3770, 6780, 2941]), 1219: set([1729, 10214, 876, 8208, 2226, 1911, 4667]), 1220: set([9314, 13157, 5069, 10958, 5879, 2424]), 1221: set([5904, 13403, 2317, 10823]), 1223: set([2891, 876, 10575, 6130, 184, 4089]), 1227: set([7857, 8522, 2574, 8465, 5081, 7163]), 1230: set([6880, 8384, 22, 3399, 11209, 10027, 11468, 469, 11510, 6941, 10654, 9057]), 1231: set([11424, 3911, 12269, 1808, 12563, 2453, 5047, 6936, 9853]), 1234: set([12888, 2521, 4091, 8453, 4407]), 1236: set([5031, 9513, 7629, 11921, 8280, 11389, 2783]), 1238: set([4228, 10405, 7116, 5331, 6008, 2078]), 1239: set([7147, 1580, 10006, 5881, 13371, 12317]), 1241: set([1729, 5323, 876, 6130, 9751, 4667]), 1242: set([7843, 4552, 2410, 6413, 6039, 1656, 796]), 1243: set([2819, 3377, 3510, 10682, 9244, 3770]), 1244: set([9540, 7253, 6489, 12185, 5852, 8062]), 1245: set([259, 2226, 6011, 9932, 11565, 10609, 2610, 6935, 6457, 12570, 4667, 7516, 413]), 1246: set([12449, 13412, 2885, 3681, 360, 7535, 6260, 12982, 13111, 6296, 11055, 5308, 10015]), 1247: set([10609, 7768, 12570, 6011, 7516, 287]), 1253: set([3810, 6054, 11253, 3768, 9914, 5790]), 1254: set([1729, 9736, 876, 6445, 184, 4089, 4667]), 1255: set([11394, 3492, 12936, 6986, 9195, 4509]), 1257: set([876, 7981, 12277, 184, 4089, 13309]), 1258: set([3627, 5037, 7598, 9237, 5338, 6015]), 1259: set([5184, 10464, 4969, 6092, 8201, 5680, 8146, 8979, 12820, 2665, 6936, 4091, 12989]), 1261: set([12064, 7107, 4790, 6217, 12716, 10541, 1965, 11473, 7154, 9171, 8758, 10985]), 1262: set([876, 10575, 1136, 6130, 184, 4089]), 1267: set([11232, 2627, 9804, 7277, 3341, 3445, 6319]), 1268: set([12392, 6059, 13100, 365, 2829, 7091, 12601, 2041, 10426, 827, 3068, 6110]), 1270: set([4321, 876, 6125, 6445, 1136, 2229, 4667]), 1272: set([1729, 876, 10575, 184, 4089, 4667]), 1273: set([9282, 5444, 188, 5136, 9526, 10780]), 1274: set([1729, 5863, 876, 6445, 10575, 6130, 4667]), 1275: set([11873, 3716, 7974, 4742, 4873, 7056, 4668]), 1278: set([1729, 876, 6445, 12467, 9686, 4667]), 1279: set([1729, 11206, 5863, 4147, 12054, 4667]), 1280: set([3234, 1635, 13125, 2536, 170, 7601, 2363]), 1282: set([3046, 12871, 4428, 1453, 815, 7548]), 1285: set([13383, 360, 7178, 142, 83, 692]), 1286: set([6946, 1706, 9071, 1397, 12023, 7162, 4094]), 1288: set([3683, 10727, 684, 1326, 3541, 5593, 6938, 1311]), 1289: set([1729, 5863, 876, 7981, 10575, 12467, 2934, 184, 4089, 4667]), 1290: set([1763, 2853, 6410, 12843, 112, 3697, 3954]), 1293: set([419, 2410, 6993, 9012, 1656, 7162]), 1296: set([4832, 11202, 293, 10088, 8843, 5324, 5026, 10280, 1778, 916, 2646, 6999, 1755]), 1297: set([2212, 12485, 7527, 3734, 6392, 11739]), 1298: set([12932, 2574, 8893, 7857, 5558, 1656, 4122, 7162, 5400, 4287]), 1301: set([13378, 7150, 6609, 4022, 5400, 3517]), 1303: set([10169, 3778, 4332, 11047]), 1304: set([7169, 2819, 8811, 11535, 11323, 3770, 6811]), 1305: set([2819, 10445, 9933, 2160, 3377, 6811, 9597]), 1306: set([7521, 674, 6870, 8550, 2076, 2410, 3517, 5848, 7158, 1656, 2554, 476, 5594]), 1307: set([7843, 6665, 1706, 1656, 9976, 7162]), 1308: set([11041, 4614, 2151, 4752, 7412, 2359, 4766]), 1309: set([9412, 197, 4998, 10486, 7865, 2372]), 1311: set([1634, 9379, 2134, 10123, 2511, 950, 1880, 2842]), 1313: set([1155, 807, 7240, 12170, 11725, 1271]), 1314: set([1729, 2891, 876, 184, 4089, 4667]), 1315: set([2112, 4233, 5424, 4498, 3738, 3422]), 1316: set([11586, 6260, 7253, 8062, 10015]), 1319: set([11488, 83, 11254, 11929, 11389, 2015]), 1321: set([3750, 4427, 10832, 6193, 4821, 538, 2974]), 1322: set([9572, 9736, 3593, 12908, 6125, 876, 2901, 8282, 2844, 12191]), 1324: set([8392, 175, 3600, 950, 4887, 6907]), 1325: set([9985, 515, 7438, 12307, 4372, 8857, 7073, 12584, 9180, 1452, 10797, 3144, 4659, 1079, 3896, 12942, 13253, 4550, 545, 5704, 10953, 12746, 12107, 7372, 3661, 1230, 5584, 11278, 10588, 10096, 226, 8422, 5609, 108, 750, 1008, 12273, 10089, 9592, 1017, 3707, 6141, 3710]), 1326: set([5794, 1352, 11637, 11960, 12245, 8533]), 1329: set([10720, 7472, 6984, 8016, 1747, 692]), 1331: set([876, 6125, 12467, 2934, 184, 4089]), 1332: set([11206, 5863, 9736, 876, 10575, 6130, 4667]), 1333: set([7843, 1706, 3885, 6262, 1656, 7162, 5883, 10890]), 1334: set([13360, 10916, 7347, 3508, 3348]), 1336: set([12256, 2531, 5174, 6183, 5907, 6867, 5148, 10687]), 1338: set([12569, 8732, 10013, 5135]), 1340: set([10624, 34, 12963, 3432, 45, 12242, 6677, 13214]), 1343: set([13344, 11258, 10003, 13142]), 1346: set([11728, 5648, 756, 6970, 1695, 12095]), 1347: set([8004, 11529, 13228, 4916, 8062, 9400, 5502, 1951]), 1348: set([12577, 11170, 6565, 3116, 2515, 12567]), 1349: set([2723, 7428, 6865, 10615, 88, 11130, 10010]), 1350: set([6562, 9484, 2574, 5903, 12880, 3346, 11188, 5749, 5081, 9950]), 1351: set([7368, 11947, 524, 4181, 8923, 1597]), 1354: set([9605, 11752, 12687, 7986, 8628, 7381, 9879, 7545]), 1355: set([7843, 1706, 12468, 1367, 1656, 7162]), 1356: set([5824, 1860, 1830, 1734, 9873, 10794, 10475, 3566, 8719, 9969, 12730, 3295]), 1362: set([4580, 3542, 2410, 2574, 12880, 7857, 5558, 1656, 4122, 4287, 7162, 5400, 12822]), 1363: set([12708, 456, 2573, 10512, 4022, 5981]), 1365: set([5697, 7169, 6823, 3377, 3770, 11325]), 1366: set([13067, 10814, 1331, 5269, 11703, 1115, 8190]), 1367: set([9796, 4805, 3334, 10668, 4774, 11159]), 1370: set([1729, 876, 7981, 6445, 4089, 4667]), 1371: set([5376, 6402, 8390, 6658, 2137, 2495]), 1373: set([2723, 2410, 2574, 5400, 3542, 1656, 4287]), 1374: set([1506, 12708, 8201, 751, 12945, 5907]), 1375: set([6656, 7843, 5252, 10921, 12023, 1656, 836, 4061]), 1376: set([4257, 7397, 5769, 9712, 12852, 13045, 6365]), 1377: set([5167, 7892, 1914, 6011, 6428, 7327]), 1379: set([7843, 1092, 1706, 1656, 7162, 796]), 1380: set([7205, 9938, 5712, 2482, 2868, 1469]), 1381: set([10913, 5155, 1284, 10342, 6288, 309, 7065, 11710]), 1383: set([551, 2410, 7158, 1656, 5594, 2554]), 1384: set([358, 10439, 2410, 2859, 1656, 7162, 13404]), 1387: set([1706, 7890, 3870, 7162, 4061, 4094]), 1390: set([8673, 10811, 11692, 12638, 2271]), 1394: set([11297, 2410, 1936, 1811, 9012, 8438]), 1395: set([1784, 10029, 9070, 10605, 1329, 10355, 12916, 12760, 2004]), 1396: set([1729, 3593, 876, 10575, 8208, 6130, 4667]), 1397: set([2848, 9541, 8426, 9009, 5944, 10559]), 1398: set([13384, 2642, 12756, 11734, 4767, 6943]), 1399: set([9664, 5735, 11368, 1129, 13370, 2971]), 1400: set([2306, 2503, 8776, 1353, 10219, 11148, 909, 559, 1712, 2417]), 1403: set([6304, 11138, 7336, 4664, 9208, 10015]), 1404: set([4003, 1733, 6472, 1035, 3472, 2515]), 1405: set([6219, 2574, 9136, 7857, 3542, 1656, 5400, 4287]), 1406: set([8840, 9737, 13198, 7453, 5406, 5540, 12209, 552, 12593, 2873, 6331, 7613, 7232, 2242, 7752, 4529, 5971, 10580, 11478, 6236, 2927, 1832, 11253, 9851, 7421]), 1408: set([4769, 3908, 9513, 5335, 12888, 11389]), 1409: set([11653, 10889, 7149, 2996, 8088, 4921, 9918]), 1411: set([1729, 5863, 876, 6125, 10575, 9360, 6130, 2229]), 1412: set([3360, 11746, 2382, 2609, 4083, 281, 8220, 7359]), 1414: set([7843, 10439, 3306, 8052, 1656, 4094]), 1415: set([3463, 13291, 9012, 1656, 2972, 735]), 1417: set([360, 9322, 12814, 692, 12982, 702]), 1418: set([1601, 7943, 12237, 6320, 9906, 11059, 11768, 4091, 4732, 5981]), 1419: set([5739, 7150, 4061, 6322, 2301, 4094]), 1421: set([11392, 10723, 1702, 12652, 7984, 6589]), 1422: set([12325, 12456, 3561, 12204, 4381, 4918, 2298, 10714, 3934]), 1423: set([12449, 12931, 3908, 5221, 3681, 8008, 13111, 10757]), 1424: set([6304, 13383, 7657, 5136, 6741, 10015]), 1425: set([876, 6125, 9360, 6130, 184, 4089]), 1427: set([2657, 13316, 8709, 10086, 10759, 8138, 2483]), 1428: set([3808, 4547, 11941, 7561, 8458, 12432]), 1430: set([3329, 12133, 11689, 11084, 11452, 5470, 11423]), 1431: set([9665, 10886, 12845, 5774, 8182, 10745]), 1433: set([3414, 12937, 2507, 5682, 7510, 4567]), 1434: set([6955, 876, 5657, 6011, 413, 3646]), 1435: set([12449, 13378, 12708, 11949, 6712, 10106]), 1436: set([6978, 4519, 9416, 6377, 4706, 2134]), 1437: set([8448, 9508, 39, 10414, 5967, 10709, 3641, 3577, 4282]), 1438: set([10439, 4140, 6319, 4305, 11539, 4094]), 1440: set([7653, 4359, 1193, 4756, 1656, 4933]), 1442: set([12993, 4523, 5572, 12965, 1606, 360, 12875, 10703, 12949, 6296, 313, 13050, 11067]), 1448: set([65, 10218, 7275, 6673, 4023, 1403]), 1450: set([1729, 5863, 2891, 876, 9433, 4667]), 1452: set([6721, 3523, 7653, 4202, 2061, 3282, 6743, 1656]), 1455: set([1729, 876, 9360, 6130, 9751, 4667]), 1460: set([6625, 2822, 6319, 4883, 2580, 13306]), 1461: set([2149, 8914, 13268, 4923, 5855, 2271]), 1463: set([876, 6445, 6125, 184, 4089, 2844]), 1465: set([11206, 876, 12177, 2226, 4147, 5396, 1911, 6040]), 1466: set([7563, 7751, 360, 12875, 4248, 11801]), 1467: set([12645, 10665, 1200, 10974, 5598, 2837]), 1468: set([5558, 2447, 10226, 3542, 3960, 4122, 7162, 12767]), 1469: set([5308, 9610, 8364, 9299, 8444, 11998]), 1471: set([4329, 6359, 11822, 9361, 1769, 10622]), 1472: set([9262, 6260, 7253, 13111, 3611, 7389]), 1474: set([7169, 9189, 6829, 438, 3770, 11325]), 1477: set([10691, 13064, 11698, 4323, 8214, 3903]), 1479: set([1296, 10930, 4404, 5941, 6238, 10815]), 1482: set([8996, 4997, 9359, 8209, 1844, 8829]), 1484: set([7169, 10445, 9933, 689, 9781, 6650]), 1485: set([769, 4835, 5958, 7719, 8375, 2909]), 1487: set([6309, 9835, 373, 5558, 5400, 6489, 4122, 4090, 4287]), 1488: set([6980, 9575, 12328, 3499, 1196, 5486, 12783, 4085, 3579, 7997, 8095]), 1490: set([5699, 5974, 8201, 7150, 9140, 6262, 6172]), 1491: set([4091, 11559, 8782, 8079, 7792, 2651, 4574]), 1492: set([5863, 2891, 876, 6125, 6130, 8282, 4254]), 1493: set([1956, 6597, 11014, 4327, 3048, 7213, 12408, 4595, 440, 7262]), 1494: set([10050, 902, 1581, 7150, 88, 10907]), 1500: set([640, 321, 5155, 3369, 6065, 1656, 7162]), 1501: set([2851, 1126, 4456, 6729, 8202, 5771, 3724, 7438, 4880, 3176, 3651, 7252, 8341, 1079, 344, 372, 10072, 668]), 1506: set([5056, 4993, 8201, 3503, 10848, 9274, 10015]), 1508: set([2981, 10630, 9032, 7977, 13137, 5085]), 1510: set([2083, 1637, 875, 3779, 11348, 9014]), 1513: set([7843, 1706, 9976, 1656, 7162, 796]), 1514: set([11462, 2410, 7150, 6327, 1656, 5594, 6554]), 1517: set([5440, 9312, 8899, 10821, 12053, 11709]), 1520: set([7777, 9262, 2545, 1586, 6648, 8093]), 1526: set([1729, 6306, 876, 6797, 6130, 4667]), 1527: set([11232, 5123, 1451, 6319, 437, 5615]), 1528: set([7158, 4071, 8460, 10605, 11858, 3444, 6390, 5594, 1020, 2554]), 1529: set([10130, 6319, 5813, 2066, 1109, 9020, 829, 11829]), 1530: set([8996, 485, 12970, 1675, 9359, 4255]), 1532: set([8737, 10564, 1706, 10641, 1906, 11067]), 1533: set([10305, 9443, 2629, 10280, 220, 4943, 8753, 3987, 980, 755, 10364, 10463]), 1535: set([6843, 11365, 294, 6764, 9846, 10127, 4016, 12306, 3027, 10581, 246, 7703, 6779, 5854]), 1537: set([1729, 5323, 876, 6125, 6130, 4667]), 1538: set([7843, 7748, 3590, 1656, 7704, 7162, 4061, 4094]), 1539: set([12611, 13416, 5322, 7212, 1431, 1497, 671]), 1540: set([5808, 5430, 8206, 1678, 6574]), 1541: set([1897, 304, 7825, 3796, 11256, 3099]), 1542: set([4288, 13230, 1744, 2993, 13335, 10619]), 1543: set([9826, 5349, 2312, 13228, 3572, 6937, 4188, 9438]), 1544: set([6978, 9379, 6377, 2319, 10359, 6363, 2271]), 1550: set([7843, 9930, 7704, 1656, 11306, 4094]), 1555: set([3568, 2661, 12944, 12434, 1555, 12982]), 1557: set([7981, 9736, 2891, 876, 6445, 6125, 8437]), 1558: set([2410, 9649, 7158, 1656, 5594, 4699]), 1559: set([12482, 3527, 3426, 5262, 12177, 1503]), 1560: set([7843, 1572, 11175, 1706, 10579, 7162]), 1561: 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set([2176, 3753, 6157, 10167, 8187, 2877]), 1600: set([9616, 8000, 5172, 8662, 5103]), 1601: set([2752, 1729, 876, 7981, 10575, 12467, 6445, 9686, 4667]), 1604: set([5863, 6125, 876, 6445, 10575, 4667]), 1605: set([6465, 1603, 5989, 9865, 3945, 12508]), 1608: set([9409, 9896, 1547, 7277, 2962, 10939, 6237]), 1610: set([7843, 1092, 4359, 8872, 6665, 1706, 12812, 2543, 6065, 12690, 1656, 7162]), 1611: set([5637, 395, 10158, 10033, 13298, 2973]), 1613: set([7840, 11617, 11437, 8727, 13277, 12926]), 1616: set([1827, 5028, 2632, 972, 2316, 2487, 4410]), 1617: set([1729, 11206, 876, 4147, 12054, 4667]), 1618: set([7843, 2410, 976, 1656, 7162, 1706]), 1619: set([5863, 876, 184, 4089, 4667, 4254]), 1621: set([2656, 1730, 2884, 646, 2926, 3253, 4317, 6783]), 1622: set([2373, 2502, 7367, 5547, 11089, 6389, 10166, 3989]), 1623: set([9315, 12822, 6219, 5558, 5400, 4090, 4287]), 1624: set([6795, 10160, 5873, 11801, 7130, 442]), 1626: set([10151, 2128, 4598, 535, 2299, 11580, 1982]), 1627: set([8296, 1807, 10856, 3516, 5981, 11583]), 1630: set([6978, 9379, 3396, 13001, 5166, 1680, 7710, 2271]), 1631: set([2819, 6823, 8811, 3377, 2388, 3992]), 1633: set([9641, 11756, 7951, 8276, 5973, 8916, 1467]), 1634: set([11232, 6319, 5941, 8729, 6671, 9278]), 1636: set([876, 9360, 6130, 9751, 184, 4089, 4667]), 1638: set([11017, 10923, 11085, 3732, 9942, 12636]), 1639: set([3521, 7843, 2374, 6470, 8743, 4872, 1706, 11083, 11661, 2030, 976, 10792, 5365, 3927, 1656, 7162, 2410, 6232]), 1640: set([1729, 5863, 876, 10575, 6130, 2229, 4667]), 1641: set([8640, 5969, 1229, 2670, 10737, 6907, 5437]), 1643: set([5863, 9736, 876, 6130, 13047, 4667]), 1645: set([10530, 1635, 170, 3234, 9134, 9498, 2363]), 1646: set([6212, 2410, 3694, 8815, 10542, 7158, 1656, 476]), 1649: set([1696, 6218, 13239, 11532, 9102, 8720, 2385, 5556, 1303, 10840, 5563, 12810]), 1651: set([2593, 8930, 9253, 6540, 9010, 688, 1650, 8114]), 1653: set([12641, 3908, 10757, 2119, 9513, 8170, 11342, 9208, 12888, 1386, 6399]), 1654: set([3542, 2410, 7857, 5558, 7162, 4122]), 1658: set([12449, 9826, 3908, 13383, 4648, 7657, 7980, 6741, 8062]), 1661: set([1729, 876, 7981, 10575, 6130, 4667]), 1662: set([10464, 3908, 5221, 11342, 11389, 11998]), 1663: set([876, 6125, 2934, 184, 4089, 5404]), 1664: set([3183, 5910, 9849, 602, 6042, 12479]), 1665: set([499, 11220, 5046, 13414]), 1667: set([10528, 8612, 4743, 5163, 5010, 10131]), 1668: set([5504, 5537, 8547, 1925, 4791, 7772, 8741]), 1669: set([3937, 5686, 2606, 3823, 86, 10679]), 1670: set([2512, 3488, 9894, 4624, 8607]), 1671: set([7018, 2829, 11470, 5041, 12564, 6197, 12028]), 1672: set([9250, 2659, 6788, 7623, 7209, 3498, 3789, 851, 7508, 10933, 10934, 1338, 9212, 5950]), 1673: set([4070, 2410, 1656, 12822, 7735, 88, 7162]), 1675: set([12994, 5606, 586, 11116, 5261, 10899, 9049]), 1676: set([5091, 7857, 7849, 6474, 6219, 10732, 10157, 2574, 12880, 8753, 3542, 5095, 5400, 601, 4122]), 1677: set([12037, 11566, 7539, 7092, 2198, 7513]), 1680: set([12932, 1063, 5424, 9208, 11588, 4287]), 1685: set([10233, 7162, 5883, 967]), 1686: set([7168, 6339, 12006, 5707, 3503, 3568, 89, 9405]), 1689: set([11206, 2891, 876, 9360, 6130, 4667]), 1690: set([11879, 1033, 6319, 10967, 185, 5615]), 1691: set([7235, 9867, 6156, 8781, 1519, 6875]), 1692: set([4353, 10796, 5907, 12949, 3416, 11868, 2494]), 1694: set([12421, 668, 6284, 4221, 10291, 12918, 700, 6749, 13246]), 1695: set([9751, 6130, 4667, 876, 10575]), 1697: set([2178, 8492, 5326, 8178, 5465, 156, 12830, 1887]), 1701: set([9986, 5830, 2210, 8655, 9502, 9759]), 1702: set([5856, 9208, 3542, 1656, 7163, 4287]), 1703: set([4864, 12597, 4618, 13038, 8753, 2802, 11605, 1912, 1113, 8863]), 1704: set([3749, 10012, 7883, 3663, 2097, 2715, 11004]), 1705: set([33, 6051, 7244, 10918]), 1707: set([9251, 10278, 8807, 10921, 11704, 10655]), 1708: set([739, 13317, 8556, 5837, 12599, 344, 4926, 6853]), 1709: set([1729, 5863, 876, 6130, 2229, 4667]), 1710: set([4832, 7843, 1706, 7918, 1656, 7162]), 1712: set([12449, 9762, 902, 7209, 12747, 11308, 4354, 9581, 6256, 10707, 6429, 7253, 9526, 13111, 3485, 188, 8093, 5725]), 1714: set([1509, 2193, 2414, 1521, 4602, 11198]), 1716: set([1027, 2574, 10383, 9136, 5400, 1656, 4287]), 1719: set([689, 8811, 5390, 6449, 11027, 11323, 4607]), 1720: set([5448, 12226, 3716, 706, 7974]), 1721: set([10562, 5699, 12932, 3469, 5558, 5400, 4122, 348, 4287]), 1723: set([8354, 9660, 1581, 5148, 7344, 8753, 3224, 2172, 4382, 13055]), 1725: set([8932, 5927, 11179, 13389, 4404, 5941]), 1726: set([1729, 876, 10575, 2229, 4089, 4667]), 1728: set([5863, 876, 6445, 10575, 6130, 2229, 9751, 184, 4667]), 1729: set([3328, 2151, 556, 4941, 977, 2463]), 1731: set([835, 9348, 9767, 11913, 11194, 5243]), 1732: set([2891, 876, 6445, 184, 4089, 10458, 2844]), 1733: set([7843, 1706, 1656, 10967, 8696, 7162, 796]), 1735: set([10848, 10464, 902, 12449, 5907, 13111, 5119]), 1737: set([5025, 8389, 71, 9661, 6417, 10994, 6941]), 1738: set([6978, 3657, 6377, 10359, 6363, 2271]), 1740: set([5642, 5201, 3315, 11604, 8569, 894]), 1741: set([11206, 876, 6130, 2229, 2934, 4667]), 1742: set([3364, 12037, 12486, 7180, 7697, 5460]), 1744: set([12888, 13378, 10892, 2506, 3503]), 1746: set([10689, 4165, 9052, 4203, 1389, 2065, 825, 9564]), 1747: set([12640, 2640, 7233, 8841, 1646, 9072]), 1748: set([11043, 12202, 10642, 8820, 11262, 2452, 3964, 10782]), 1749: set([9250, 2410, 7638, 1656, 7162, 11130]), 1751: set([12931, 9413, 3110, 4078, 2009, 11450]), 1752: set([3424, 3361, 4492, 4173, 1070, 88, 7059, 1656, 11130, 7163, 7162, 10520]), 1754: set([1092, 1706, 2580, 1656, 7162, 1787, 4094]), 1755: set([7843, 1092, 6665, 1706, 976, 1656, 7162, 2410]), 1756: set([1281, 3239, 4264, 339, 686, 4783, 6355, 6518, 10775, 3067]), 1757: set([11427, 8095, 11526, 6152, 10858, 10523, 1663]), 1758: set([4778, 13111, 7253, 902, 5725]), 1759: set([4746, 7723, 14, 463, 4339, 5050]), 1762: set([7010, 12932, 198, 7661, 12338, 11125]), 1763: set([4265, 9594, 9020, 6490, 8748]), 1765: set([9602, 6757, 3559, 8023, 9020, 5533]), 1766: set([12449, 9826, 12651, 1298, 5907, 3645]), 1767: set([5920, 12333, 9678, 3280, 7036, 1821]), 1768: set([1400, 5076, 5876, 7950, 3108]), 1769: set([6089, 2922, 8331, 8430, 3922, 4698]), 1770: set([9601, 10282, 3597, 4242, 10378, 2654]), 1771: set([11206, 2891, 876, 6125, 184, 8282]), 1772: set([12449, 902, 11308, 7253, 13111, 6489]), 1774: set([12258, 9224, 12490, 5048, 7292, 12031]), 1775: set([8965, 9479, 7948, 8976, 275, 150, 11909, 2851, 125, 1712, 11191, 12741, 1353, 4170, 344, 10585, 1120, 4716, 4205, 3311, 9077, 3702, 5245]), 1776: set([3224, 3908, 7628, 5526, 2847]), 1779: set([7834, 7491, 7981, 4719]), 1781: set([10439, 11752, 2410, 2831, 1656, 7162, 8730, 4094]), 1782: set([12385, 11778, 6955, 2987, 4269, 5714, 7349, 5657, 3646, 9884, 1483, 12405]), 1783: set([5314, 2599, 7501, 4310, 7933, 1791]), 1784: set([10690, 4003, 7622, 2699, 4909, 12626]), 1786: set([7653, 1706, 4750, 1656, 7162, 796]), 1787: set([12643, 8240, 1041, 10231, 8760, 5179]), 1788: set([7843, 1706, 1656, 7162, 796, 4061]), 1794: set([10157, 12174, 5558, 5400, 4090, 4122, 4287]), 1795: set([1827, 11469, 8333, 10456, 2197, 5014, 1656, 7998]), 1796: set([5059, 6886, 360, 12236, 12982, 12158]), 1802: set([7682, 5957, 12839, 3848, 12653, 5966, 4436, 11127, 12351]), 1803: set([4001, 10563, 4740, 3079, 6796, 2672, 3349]), 1805: set([7843, 1706, 1656, 153, 7162, 4094]), 1807: set([578, 869, 7558, 11880, 950, 10077, 191]), 1808: set([7843, 2410, 1656, 7162, 1706, 4094]), 1810: set([11754, 12011, 13324, 12790, 8793, 189]), 1813: set([7550, 9707, 7589, 7022, 3725]), 1815: set([7098, 2955, 12060, 7094]), 1816: set([806, 8647, 11980, 332, 178, 8306, 1907, 5846, 2682, 9372]), 1817: set([5955, 9386, 9101, 3035, 7997, 11903]), 1818: set([6817, 13225, 3789, 6865, 1656, 88, 7162]), 1822: set([1794, 12648, 941, 7824, 2647, 250, 7004, 5501]), 1823: set([74, 910, 11027, 9047, 985, 2815]), 1824: set([2081, 131, 13065, 1706, 6255, 13169, 12978, 7843, 5257, 10921, 4570, 5531, 796]), 1827: set([11206, 1448, 876, 2581, 4667, 10558]), 1828: set([8354, 5221, 9513, 8235, 12846, 7535, 11389, 10757]), 1830: set([421, 12198, 12, 11724, 3344, 6270]), 1831: set([646, 3400, 4041, 628, 6492, 10207]), 1832: set([9056, 5125, 9036, 12367, 6169, 1919]), 1833: set([10464, 13281, 3908, 12449, 7117, 5981, 10015]), 1834: set([907, 10603, 10223, 245, 11129, 6010]), 1835: set([12739, 1444, 8965, 9479, 7499, 2704, 1105, 10674, 757, 2740, 6037, 10390, 7831, 2315, 12953, 5274, 8575, 5956, 5951]), 1838: set([1729, 5863, 876, 10575, 6130, 12467, 2229, 9751, 184, 4089, 4667]), 1839: set([2854, 12817, 11315, 7670, 10650, 9599]), 1841: set([8064, 7777, 4648, 1581, 4914, 373, 1015]), 1843: set([4070, 9262, 8753, 4498, 7150, 2009]), 1845: set([7169, 6823, 8811, 978, 11027, 2388, 3770]), 1849: set([4993, 7554, 11238, 4769, 680, 12505, 13305]), 1850: set([3072, 8035, 2694, 12586, 10426, 12318]), 1852: set([7554, 1386, 1656, 6327, 1848, 4699]), 1853: set([9154, 4496, 9362, 726, 9208, 5467, 13341]), 1854: set([10912, 11845, 360, 9513, 8779, 8936, 11389]), 1857: set([6601, 4753, 9300, 5558, 4122, 4287]), 1863: set([1729, 11206, 9520, 2130, 4147, 3988]), 1864: set([1219, 10790, 967, 3789, 7572, 7575, 3390]), 1865: set([1729, 11206, 9736, 3593, 876, 4089, 4667]), 1866: set([12728, 10083, 12725, 10006, 3183]), 1867: set([768, 5058, 7203, 13318, 11049, 8525, 11634, 2371, 9272, 282, 10879]), 1869: set([5666, 3269, 5959, 4425, 7882, 3439, 1744, 2993, 7286, 13129, 10619, 1693]), 1871: set([10183, 5002, 974, 144, 7253, 13305, 3642]), 1874: set([2410, 8045, 10389, 1656, 7162, 10941]), 1876: set([1656, 7843, 12387, 5309, 4061]), 1880: set([8101, 5863, 2891, 876, 6125, 2934]), 1881: set([11206, 9066, 6445, 4147, 12054, 4667]), 1884: set([2785, 13026, 1531, 4068, 4391, 7946, 9931, 5698, 13199, 5552, 7373, 1855, 9679, 10551, 11618, 7780, 7194, 3247, 12455, 11390, 4951]), 1886: set([7424, 928, 897, 6408, 3019, 2956, 9082, 6109, 3866, 4703, 10298, 12639]), 1888: set([5489, 1097, 5777, 2898, 10653, 5215]), 1890: set([7042, 714, 5075, 7094, 2803, 10428]), 1891: set([3108, 7080, 12204, 5614, 1391, 4375, 9466, 7740, 10845]), 1892: set([5697, 10539, 1837, 3377, 3510, 3770, 1532]), 1893: set([3522, 8311, 11034, 4923, 602, 2271]), 1894: set([7169, 2819, 3377, 3770, 11325, 12478]), 1897: set([4832, 1706, 1656, 7162, 796, 4094]), 1903: set([6464, 11745, 11267, 5921, 13353, 4526, 6704, 2193, 1874, 9076, 8833, 10105, 7742, 7839]), 1905: set([5632, 3202, 6171, 3397, 11782, 6536, 585, 6827, 8130, 303, 3807, 11544, 11874, 10329, 5815, 1730, 10009, 3533, 10587, 9694, 12543]), 1906: set([1729, 3593, 876, 6445, 4089, 4667]), 1907: set([5030, 11308, 11342, 2587, 11389, 5950]), 1908: set([10080, 8041, 12690, 6319, 9746, 10708, 11803, 895]), 1909: set([8514, 11139, 1476, 9861, 9138, 2999]), 1911: set([9824, 10339, 4113, 5907, 2904, 3353]), 1912: set([7521, 5699, 7900, 12747, 9744, 6226, 9300, 5848, 476, 3517]), 1913: set([7169, 2819, 11873, 6475, 2160, 689, 9597]), 1914: set([6884, 11574, 12343, 12220, 1373, 2271]), 1916: set([8857, 2922, 5914, 11222]), 1918: set([7361, 4900, 12039, 11240, 10217, 9194, 1818, 11882]), 1919: set([5315, 7268, 7592, 7855, 4465, 10770]), 1920: set([10539, 11629, 208, 3377, 3770, 9244]), 1921: set([5857, 5603, 12933, 12489, 10352, 6613, 7813, 2908, 9021, 8613]), 1923: set([9513, 12219, 2213, 11998, 5119]), 1925: set([7497, 1706, 8702, 13033, 7162, 4443, 796, 4094]), 1926: set([7554, 6371, 6886, 11078, 11559, 360, 7178, 9358, 8948, 6933]), 1927: set([3840, 10210, 11690, 5260, 3698, 11902, 8470, 2366, 767]), 1928: set([1958, 3698, 3188, 12374, 12665, 2361]), 1929: set([1729, 5863, 876, 7981, 2229, 4667]), 1932: set([9223, 4973, 8053, 4632, 1021, 7039]), 1933: set([1669, 3436, 3373, 12787, 4565, 7993, 6972, 2526]), 1934: set([6209, 10050, 6309, 7777, 11438, 10544]), 1936: set([1729, 9736, 8714, 876, 7981, 184, 4089, 4667]), 1937: set([4772, 5162, 11436, 4717, 36, 4127]), 1938: set([7521, 10029, 4022, 1656, 476, 3517]), 1941: set([12641, 1286, 2345, 7535, 11921, 9513, 12888]), 1942: set([7843, 10439, 1706, 3821, 2831, 8085, 1656, 7162, 5117]), 1943: set([2115, 4781, 477, 5267, 313, 12445]), 1944: set([9504, 8003, 3803, 2547, 1813, 6907]), 1945: set([4134, 2332, 13002, 10443, 10351, 1968, 2515, 13205, 5942, 12248, 921, 2236, 3038]), 1946: set([6471, 141, 1166, 6640, 7253, 3611, 7389, 8062]), 1947: set([6978, 10123, 9379, 939, 1299, 10359, 6363, 2271]), 1952: set([5155, 10308, 1706, 7843, 1656, 4094]), 1953: set([3076, 12939, 6903, 11192, 13114, 9978, 5694]), 1954: set([1729, 3682, 5863, 876, 13047, 4089, 4667]), 1956: set([9794, 4037, 41, 8786, 8729, 7705]), 1958: set([4430, 4422, 2638, 6471]), 1959: set([7456, 4196, 2792, 11801, 2106, 13244, 9471]), 1960: set([6753, 9346, 7460, 12037, 8481, 3880, 6305, 3525, 4619, 5132, 11598, 13074, 8535, 5716, 12654, 12940, 3736, 8857, 3930, 7073, 6149]), 1962: set([6984, 11801, 10859, 5308, 4669]), 1963: set([2363, 3277, 9134, 10776, 9498, 4123]), 1964: set([3457, 12226, 11958, 7974, 10060, 13046]), 1966: set([4832, 7843, 1706, 2059, 976, 11862, 1656, 796]), 1967: set([12449, 7554, 11559, 1386, 11760, 9208]), 1969: set([6212, 1758, 7158, 1656, 5594, 5950, 2453]), 1971: set([1729, 3593, 876, 6445, 7981, 4089, 4667]), 1972: set([6953, 681, 3152, 6035, 13289, 13267]), 1973: set([4084, 9011, 3276, 9588, 5473]), 1974: set([5217, 10434, 5094, 297, 4844, 7202, 2577]), 1978: set([4896, 3908, 12823, 373, 13111, 8824]), 1979: set([1729, 876, 10575, 6130, 3988, 4667]), 1981: set([3910, 6955, 7084, 1908, 5657, 6011, 11260]), 1983: set([394, 7245, 10991, 4437, 2716, 12394]), 1984: set([9351, 2636, 270, 1240, 2103, 5784]), 1985: set([5794, 12617, 11637, 9208, 5950, 12245]), 1986: set([6473, 8364, 1555, 6901, 1961, 7065]), 1987: set([4736, 11715, 5509, 12326, 3339, 10005]), 1988: set([2891, 876, 7981, 9360, 567, 8282]), 1989: set([7106, 5322, 3691, 7212, 2902, 671]), 1990: set([4009, 11955, 1428, 11639, 56, 540]), 1994: set([11595, 1936, 12308, 1656, 9012, 6492, 10207]), 1996: set([5155, 711, 2410, 10252, 1656, 607]), 1997: set([9189, 438, 10539, 3377, 978, 3510, 3098, 3770]), 1998: set([3078, 9356, 12941, 13045, 2390, 8474, 4796, 1333]), 1999: set([5121, 5253, 7937, 6060, 4106, 9740, 4370, 12311, 9881, 12826, 3618, 5923, 935, 4524, 5805, 3886, 10415, 8755, 2548, 5178, 6205, 1983, 4421, 3404, 4578, 4686, 336, 11730, 8313, 5464, 473, 2780, 9821, 1644, 2018, 8449, 9577, 4842, 11883, 7788, 8813, 11630, 11197, 10992, 3700, 8181, 9705, 10361, 7786]), 2000: set([2448, 4168, 10736, 5495, 4825, 12891, 12572, 3806]), 2001: set([6368, 7346, 3926, 5560, 11003, 8575]), 2005: set([8801, 3434, 6575, 4404, 7350, 2383]), 2007: set([9414, 2247, 508, 1835, 7827, 3740]), 2008: set([1593, 7041, 10363, 11957, 13177]), 2009: set([4832, 8931, 1706, 9976, 7162, 796]), 2010: set([1729, 11206, 5863, 876, 4667, 5404]), 2011: set([7906, 3237, 5866, 7147, 1612, 9901, 11694, 8497, 950, 6456, 5881, 9114, 11228]), 2015: set([5258, 9550, 1300, 3925, 1307, 11797]), 2017: set([876, 6125, 10575, 9360, 6130, 2229, 9433]), 2018: set([8451, 1960, 5610, 2476, 5437, 4062]), 2019: set([4417, 1186, 1347, 2707, 5219, 11256]), 2021: set([8992, 6319, 3281, 3668, 2167, 11727]), 2026: set([1602, 5443, 6476, 10435, 9955, 12573]), 2029: set([3682, 10755, 11206, 9932, 2226, 4597, 12054, 1911]), 2030: set([10882, 8325, 10124, 3821, 7760, 1394, 6357, 4279, 220, 9981]), 2031: set([11588, 12747, 13111, 6648, 11802, 5534]), 2032: set([10524, 10348, 823, 13084, 5469, 7102]), 2035: set([8450, 950, 11783, 6314, 10125, 13237, 8309, 5494, 7033, 2778, 4894, 12991]), 2036: set([1955, 5414, 1833, 3918, 7061, 1752]), 2037: set([9605, 8713, 1706, 12334, 5264, 796]), 2040: set([12869, 905, 334, 11119, 13397, 726, 6309]), 2041: set([9218, 6820, 4549, 1030, 13063, 5353, 9454, 7567, 10515, 3182, 9561, 9753, 5433, 6430, 11167]), 2043: set([453, 5611, 10421, 8795, 3932, 8701]), 2045: set([5031, 13097, 5930, 8999, 7629, 142, 11152, 2106, 5308]), 2046: set([7169, 2819, 6449, 5390, 689, 2388, 3770]), 2047: set([11308, 7535, 10548, 10487, 2234, 10015]), 2048: set([8545, 5699, 12449, 3187, 726, 13111]), 2052: set([5856, 10692, 13331, 7795, 9208, 2491]), 2053: set([9632, 10921, 2410, 885, 1656, 1374]), 2054: set([3232, 2913, 10312, 8331, 782, 6973]), 2055: set([5863, 2891, 876, 10575, 6130, 5404]), 2056: set([4293, 294, 9227, 6252, 12399, 3634]), 2057: set([1729, 5863, 876, 7981, 10575, 12467, 184, 4089, 4667, 13309, 4254]), 2058: set([7778, 933, 12362, 7979, 81, 8509]), 2059: set([12486, 2057, 1645, 8237, 7697, 344]), 2060: set([7843, 1706, 1773, 1656, 7162, 796]), 2061: set([1729, 876, 7981, 10575, 6130, 12467, 9433, 4667]), 2062: set([11584, 8322, 5864, 6380, 9338, 11646]), 2065: set([12935, 12907, 2319, 5273, 3227, 1373, 2271]), 2068: set([12936, 5641, 139, 12493, 12526, 10394]), 2071: set([4611, 7940, 8439, 10264, 9658, 1404]), 2072: set([2976, 9857, 1508, 6021, 8299, 4974, 466, 4820, 7927, 10618, 10751]), 2074: set([4545, 3047, 458, 5746, 6133, 8731]), 2075: set([1848, 8753, 5848, 4122, 6554, 5400]), 2076: set([10310, 6988, 6734, 10416, 11833, 9469]), 2077: set([12003, 5291, 10199, 11673, 4346, 8414]), 2079: set([5416, 13194, 76, 9230, 4593, 12510]), 2081: set([7137, 1582, 3603, 8340, 4471, 9406]), 2082: set([7843, 1092, 1706, 12899, 1656, 7162, 12605]), 2083: set([3043, 3559, 7124, 277, 2718, 7678, 13013]), 2086: set([2178, 2410, 6288, 12949, 1656, 156, 4682]), 2092: set([5989, 9479, 1742, 5330, 12307, 1589]), 2093: set([9675, 8241, 1656, 7162, 4251, 4094]), 2094: set([2852, 9830, 6313, 9261, 6199, 1016]), 2096: set([995, 9012, 1656, 8345, 9818, 7162]), 2097: set([10547, 13110, 12696, 11929, 954, 8540, 93, 7038]), 2098: set([8208, 9066, 4667, 11206, 9751]), 2099: set([8425, 2574, 12880, 7857, 790, 9950]), 2102: set([6304, 4769, 13383, 11559, 8974, 11760]), 2104: set([11811, 12998, 5137, 7086, 6288, 11441]), 2105: set([902, 12680, 4810, 9262, 5371, 5738]), 2107: set([5264, 9923, 6000, 1656, 4061, 4094]), 2108: set([385, 8915, 9068, 11985]), 2109: set([2410, 12685, 1139, 1656, 6106, 6330]), 2110: set([12390, 10218, 560, 11571, 8372, 2527]), 2111: set([3495, 7692, 493, 6835, 5910, 2271]), 2112: set([8385, 8124, 4116, 4094]), 2115: set([4384, 4003, 2692, 5640, 5003, 7375, 2833, 1717, 10070, 8251, 3741, 3701]), 2117: set([12706, 5766, 1681, 9816, 1423, 12528, 3441, 4947, 11256, 9939, 408, 9050, 2237]), 2119: set([6882, 6182, 9066, 2226, 2610, 4252]), 2123: set([549, 4778, 8753, 3987, 88, 8281, 10364]), 2125: set([3908, 9513, 12906, 11064, 5907, 9208, 5950, 5119]), 2126: set([705, 6050, 10439, 8041, 9870, 7162, 4094]), 2129: set([9216, 10818, 10403, 12905, 3983, 18, 11935]), 2130: set([7843, 1092, 6438, 1706, 12084, 11862, 1656, 7162, 796, 3902]), 2133: set([8961, 6596, 5042, 2009, 4604, 2749]), 2134: set([1250, 3011, 2219, 3539, 5615, 4371]), 2136: set([12937, 5678, 5592, 7410, 7637, 8856, 12537]), 2137: set([7375, 3601, 4082, 10842, 11515, 9340]), 2138: set([7321, 4923, 10717, 11621]), 2139: set([6400, 4933, 10439, 2410, 9870, 1656, 7162, 4094]), 2140: set([6152, 6602, 1870, 2002, 4378, 2826]), 2141: set([9632, 10921, 8049, 1656, 5305, 6492]), 2143: set([1729, 5863, 2891, 876, 7981, 9433, 4667]), 2144: set([8772, 4517, 11502, 2382, 9982, 3477]), 2147: set([8100, 5445, 9575, 968, 4313, 3035, 2525, 2052]), 2149: set([7169, 2819, 12967, 8780, 3770, 11323, 9244]), 2151: set([11232, 41, 9067, 6319, 11440, 6969]), 2152: set([1729, 5863, 9736, 3593, 876, 7981, 6130, 4667, 4254]), 2154: set([13378, 822, 8079, 5424, 5558, 5400, 4122, 703, 4287]), 2155: set([5155, 11401, 13117, 1999, 11868, 1661]), 2156: set([5248, 9542, 13390, 12821, 88, 5885]), 2157: set([8932, 2047, 7727, 787, 5615, 4735]), 2158: set([8052, 836, 6373, 4094, 7879]), 2165: set([4706, 6377, 4043, 11692, 10359, 2271]), 2166: set([3014, 1704, 9066, 2226, 1911, 4667]), 2167: set([3396, 1350, 13001, 10006, 7992, 13124]), 2168: set([7521, 13378, 456, 10029, 6317, 4848, 4022, 6839, 539]), 2169: set([8040, 10218, 3659, 5839, 1736, 4700]), 2172: set([10902, 1322, 3212, 12880, 4626, 3542]), 2174: set([11559, 7178, 5707, 3917, 692, 6741, 13383]), 2176: set([642, 10147, 9221, 4007, 12904, 7785, 5378, 6608, 1618, 4246, 920, 12575]), 2178: set([1345, 12647, 2092, 4301, 3184, 7955]), 2179: set([8673, 7586, 6468, 6246, 11335, 3506]), 2180: set([5153, 8838, 6023, 4361, 12139, 5164, 8527, 8082, 1173, 3518, 2169, 11358]), 2182: set([4773, 8680, 8268, 494, 7353, 7773]), 2183: set([1729, 8101, 876, 12908, 10575, 12467, 3593, 184, 4089, 8282, 4667]), 2184: set([1728, 3143, 11372, 5392, 5300, 2426]), 2187: set([6369, 4645, 10602, 10800, 4019, 10715]), 2189: set([1729, 5863, 876, 7981, 10575, 9360, 6130, 4667]), 2191: set([3648, 11175, 6665, 8504, 1656, 7162]), 2193: set([7686, 716, 9264, 12506, 11038, 3135]), 2194: set([1152, 4116, 4701, 3310, 2047]), 2195: set([1634, 2630, 1191, 12907, 6700, 3089, 10006, 5468, 2271]), 2196: set([3873, 8524, 13070, 10578, 526, 1208]), 2198: set([2410, 6283, 9040, 2002, 1656, 1948]), 2203: set([13284, 3854, 4399, 3538, 7354, 7549]), 2204: set([8929, 2819, 8811, 3510, 3770, 9244]), 2205: set([2691, 6948, 4837, 4103, 4359, 995, 10104, 2277]), 2208: set([1729, 5863, 9736, 876, 10575, 6130, 2229, 4667]), 2211: set([4066, 3235, 12267, 7490, 1366, 11642]), 2215: set([12423, 9224, 5991, 11854, 11799, 12414]), 2216: set([6952, 2025, 6571, 4268, 461, 4111, 7231]), 2221: set([12738, 5193, 1386, 4011, 4721, 7253, 11294]), 2223: set([386, 3908, 1095, 3304, 3513, 11389]), 2224: set([1729, 10214, 5863, 876, 6130, 4667, 4254]), 2225: set([10880, 12032, 6571, 9349, 1545, 5646, 7695, 1810, 3991, 10140, 8221, 1184, 4259, 7717, 3612, 9387, 12978, 4806, 4556, 9173, 1369, 11098, 10206, 1257, 10348, 6765, 2035, 5496]), 2227: set([390, 2257, 3729, 11834, 5948, 11514]), 2231: set([13314, 12006, 5707, 207, 5428, 9274, 3503, 9405, 9695]), 2233: set([776, 7084, 8526, 8180, 6488, 8287]), 2234: set([1729, 5863, 876, 6445, 10575, 9360, 1909, 184, 4667]), 2235: set([12747, 11308, 9208, 6838, 5016, 3485]), 2238: set([7843, 1706, 10573, 12084, 1656, 7162, 796]), 2239: set([1674, 5931, 12849, 3476, 6581, 1723]), 2241: set([2353, 882, 11371, 7514, 12454]), 2243: set([10625, 2211, 13004, 9838, 245, 1134, 248, 12986, 5909]), 2244: set([10400, 4033, 2722, 13323, 3376, 9682, 12828]), 2245: set([12327, 6376, 2154, 8908, 3931, 2687]), 2246: set([4096, 13380, 6469, 5266, 7409, 4297, 5298, 6735, 8881, 13394, 11285, 3996]), 2247: set([9856, 9986, 5556, 6879]), 2249: set([8737, 1157, 11850, 7822, 4943, 11665, 11178, 5918]), 2251: set([11712, 6913, 6337, 9576, 12010, 8876, 12947, 9305, 7449]), 2253: set([4706, 9379, 3396, 3495, 6377, 10359, 12440]), 2255: set([4769, 4898, 6339, 4908, 11342, 4248, 8146, 8280, 2587]), 2256: set([3469, 2574, 7857, 5558, 1656, 4122, 7162, 5400, 4287]), 2259: set([3554, 12388, 11087, 3347, 9172, 469, 3163, 4829]), 2260: set([13195, 7365, 13131, 9040, 7094, 7295]), 2262: set([1570, 7624, 9643, 12850, 4031, 10751]), 2264: set([2178, 4710, 6055, 10348, 8207, 12978, 3384, 9690, 8860, 9594]), 2265: set([7680, 11335, 9203, 53, 8311, 4923]), 2266: set([1450, 8271, 12464, 1942, 2063, 10333]), 2269: set([1954, 6695, 6058, 2832, 10326, 11160, 6602, 2270, 7423]), 2270: set([2410, 12020, 10967, 1656, 7162, 2589]), 2271: set([12128, 10817, 2245, 1288, 12969, 8494, 13104, 6611, 2484, 4671]), 2273: set([12192, 11273, 4940, 8059, 3580, 4652]), 2274: set([10722, 12403, 7204, 4656, 2579, 8180, 1973, 662, 1819]), 2275: set([1729, 11206, 876, 2229, 2934, 4667]), 2277: set([6082, 5060, 8518, 5990, 5319, 10216, 13066, 1419, 4066, 7758, 335, 400, 1009, 7922, 5782, 11128, 11099, 3839, 1822, 4002]), 2279: set([8558, 7325, 4018, 2228, 4093, 5759]), 2282: set([13088, 1218, 7202, 4680, 9449, 2122, 11330, 6701, 8466, 2324, 6805, 9850, 6959, 2398]), 2283: set([11841, 10245, 4778, 2032, 4498, 9471, 8581]), 2284: set([6240, 3170, 12163, 3938, 11663, 6235, 9244, 12223]), 2285: set([70, 7399, 812, 2865, 12373, 11708]), 2286: set([8780, 7169, 11323, 2388]), 2287: set([288, 11108, 8941, 1399, 5945, 317]), 2291: set([929, 8578, 6115, 7694, 3318, 3355]), 2293: set([5863, 876, 6125, 6130, 2229, 4667]), 2294: set([12801, 5191, 7914, 9716, 4630, 8503, 10043]), 2296: set([9002, 876, 7981, 2610, 4667, 4252]), 2297: set([2724, 10407, 8328, 3064, 3962, 927]), 2298: set([8066, 13032, 5400, 2425, 6075, 12767]), 2300: set([5091, 12038, 4870, 2258, 5620, 8670]), 2301: set([12131, 7269, 1194, 5107, 9462, 10303]), 2303: set([2208, 2737, 3124, 12360, 4685]), 2304: set([9752, 4532, 13322, 7044, 616]), 2305: set([4066, 7140, 7222, 6571, 5778, 8175, 10192, 146, 12980, 5782, 6998, 6303]), 2306: set([12289, 3781, 7404, 2412, 1741, 2514, 8380, 3869]), 2307: set([7843, 11850, 12084, 1656, 7162, 7291]), 2309: set([3906, 3890, 9973, 1815, 3576, 10229]), 2310: set([9323, 11559, 10827, 5907, 13111, 10687]), 2313: set([7525, 8806, 3431, 9652, 5820, 7711]), 2314: set([8079, 12305, 5016, 8826, 4091, 11998]), 2316: set([6119, 5418, 430, 10200, 12402, 12856]), 2318: set([737, 8066, 4070, 2794, 8354, 9649, 5400, 4122, 11451]), 2319: set([11232, 6625, 13227, 6319]), 2321: set([257, 7459, 7142, 2950, 2443, 502, 6455, 1368, 6361, 4345, 6524, 12678]), 2323: set([208, 978, 10645, 3770, 11323, 11325]), 2327: set([11206, 5863, 6445, 3988, 12054, 4667]), 2328: set([1563, 10788, 2118, 4107, 12206, 7311, 11551, 4657, 10100, 206, 3289, 5851, 3484, 7230, 319]), 2329: set([8730, 3307, 3586, 2730]), 2330: set([10629, 5449, 11915, 1932, 4150, 10713]), 2331: set([5089, 9836, 5615, 11440, 185, 6319, 9020]), 2332: set([11584, 3490, 484, 1233, 6994, 2263]), 2333: set([11232, 8041, 5901, 6319, 3606, 8729]), 2334: set([7495, 7239, 5358, 8728, 3482, 4605]), 2335: set([8101, 876, 6445, 7981, 12467, 184, 4089, 10575]), 2339: set([6752, 8065, 13251, 11876, 11558, 1676, 785, 8690, 12339, 11542, 2084, 10500, 7707, 9342, 6911]), 2340: set([7808, 11585, 7652, 2278, 3111, 4938, 5767, 3597, 9422, 13272, 1946, 11370, 11806]), 2343: set([481, 5155, 10439, 6665, 6319, 2691, 7350]), 2345: set([7843, 7879, 11752, 2410, 12624, 1656, 7162, 4443, 1706, 4094]), 2346: set([11206, 876, 6445, 184, 4089, 4667]), 2347: set([4769, 11625, 10090, 8146, 117, 12502]), 2352: set([2891, 876, 7981, 10575, 6130, 6125]), 2355: set([3362, 357, 3746, 7502, 2319, 13235, 10102, 4286]), 2359: set([5257, 2410, 2059, 9238, 2586, 12571]), 2363: set([7843, 3846, 2410, 976, 1656, 9976, 7162, 796, 1706]), 2364: set([4225, 6818, 2410, 7158, 1656, 476]), 2367: set([9442, 8163, 388, 4902, 3015, 2922, 2503, 9619, 7931, 2043, 5546, 2206]), 2368: set([2144, 6213, 6319, 9008, 5074, 6291]), 2375: set([12704, 5104, 9444, 7472, 7632, 11801]), 2376: set([5699, 12932, 5558, 3469, 1656, 5974, 5400, 7162, 7163, 4122, 4287]), 2379: set([13156, 360, 12524, 4654, 5198, 4059]), 2380: set([9189, 8811, 689, 978, 3770, 11325]), 2381: set([5220, 4102, 4466, 4244, 6133, 2392, 11229]), 2384: set([470, 9254, 10504, 3278, 3958, 8664, 5500]), 2385: set([3136, 4070, 2410, 12880, 5400, 7735, 1656]), 2386: set([1667, 1641, 12719, 7864, 12978, 7187, 2036, 11320, 4316, 10748, 3679]), 2387: set([5604, 843, 5900, 942, 5972, 9304]), 2388: set([7202, 2408, 7531, 366, 10007, 505]), 2395: set([4928, 4512, 9476, 10566, 2931, 9240, 4478]), 2396: set([6978, 3237, 1612, 9901, 2134, 10359]), 2397: set([6594, 1957, 5479, 3464, 6311, 911, 151, 2936, 10171, 11109]), 2398: set([12836, 3301, 10871, 7332, 5755, 10909]), 2400: set([3200, 4449, 13378, 12347, 2216, 10781, 8432, 562, 5843, 7158, 1656, 2075, 3581]), 2401: set([10464, 4812, 117, 7063, 5211, 6335]), 2402: set([83, 1969, 2163, 8216, 11065, 5148, 2910]), 2403: set([2282, 5740, 4980, 6293, 1207, 1884]), 2404: set([4962, 10693, 9350, 5128, 2970, 6782]), 2406: set([7584, 5575, 10535, 11764, 11993, 13149]), 2408: set([11409, 12025, 8275, 7374, 10439]), 2409: set([4646, 6118, 8359, 12299, 2841, 11037]), 2410: set([8993, 7554, 8454, 102, 3585, 11342, 3503, 5368, 2106, 2587, 9980]), 2413: set([2410, 2830, 7090, 1267, 5013, 1656, 12571, 5695]), 2415: set([11206, 876, 6125, 10575, 6130, 184, 4089]), 2417: set([6304, 9762, 9526, 9609, 3308, 11760, 7153, 83, 4342, 3513, 11837, 10143]), 2418: set([8775, 5490, 7219, 12949, 4214, 1623, 6078]), 2419: set([8962, 3205, 3591, 7131, 1039, 7953, 9518, 6422, 6295, 5276, 12062, 4613, 8608, 11355, 1966, 5679, 305, 1595, 12483, 3654, 7625, 11722, 5751, 5841, 9554, 11861, 12763, 4751, 2912, 13417, 8674, 2747, 10577, 10271, 3049, 3054, 1384, 2675, 12022, 6007, 9725]), 2421: set([1729, 5863, 876, 6130, 2229, 4089, 4667]), 2422: set([1729, 6277, 876, 7981, 10575, 4667]), 2425: set([5558, 3542, 11813, 2574, 7857, 6262, 1656, 10649, 7162, 5147, 7866, 4287]), 2426: set([9352, 2409, 623, 4341, 9143, 4379, 10108]), 2427: set([5890, 8227, 8261, 2438, 8777, 1354, 6006, 6350, 8239, 9523, 1524, 4021, 2070, 154, 4220]), 2430: set([12264, 11050, 6894, 3922, 344, 10777]), 2432: set([2410, 9835, 12880, 1656, 7735, 5400]), 2434: set([12197, 10822, 4681, 1260, 8051, 4952, 6718]), 2435: set([8611, 12822, 13247, 2410, 2059, 4957, 9315, 3765, 11862, 7735, 11743, 6908, 957, 4287]), 2438: set([13190, 9963, 4752, 435, 2196, 9110]), 2439: set([7843, 1092, 2580, 5365, 1656, 7162, 4443]), 2440: set([7169, 5892, 6823, 3145, 2388, 1400, 5247]), 2441: set([6849, 6320, 1774, 3215, 5168, 3763, 5917]), 2443: set([2560, 5632, 7843, 7653, 7753, 4224, 1963, 4689, 3523, 1656, 2010, 796]), 2444: set([6848, 4644, 4298, 11607, 1295, 5681, 8469, 5623, 8218, 4603, 5821, 2399]), 2446: set([10375, 1994, 590, 979, 9742, 346]), 2447: set([10048, 994, 2694, 10345, 8363, 1229, 12557, 948, 3573]), 2448: set([8811, 10539, 11629, 208, 3377, 3770, 11323, 9244, 11325]), 2449: set([13412, 3973, 12745, 12042, 3123, 12959]), 2450: set([4130, 9731, 12548, 12005, 8486, 1852, 9166, 12751, 5283, 11419, 8411, 12860]), 2451: set([7298, 1220, 6547, 6929, 11923, 13276]), 2452: set([2891, 6125, 10575, 9360, 4433, 9433]), 2455: set([2945, 2479, 4446, 699, 7068, 9182]), 2456: set([1285, 8041, 10668, 6319, 11537, 10967]), 2457: set([5600, 2437, 10702, 2928, 11612, 9470]), 2459: set([228, 5286, 7175, 278, 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3948, 7221, 4536, 11012]), 2502: set([1656, 5558, 5400, 7162, 4122, 4287]), 2503: set([1729, 9736, 876, 6130, 2229, 4667]), 2504: set([363, 10315, 4493, 3443, 3220, 8821]), 2505: set([634, 3183, 1882, 5426, 1197]), 2507: set([5508, 12807, 9927, 11277, 9623, 312]), 2509: set([8705, 1249, 426, 2387, 10068, 13048]), 2512: set([2881, 10819, 6788, 7653, 1706, 2410, 7843, 1656, 6137, 8666, 5883, 7162, 12837]), 2515: set([7843, 2410, 976, 7669, 9878, 1656, 7162, 4094]), 2521: set([5089, 2627, 705, 4360, 1929, 6319, 1297]), 2522: set([11206, 9736, 876, 10575, 6130, 4667]), 2523: set([12710, 5737, 1811, 500, 6774, 88]), 2524: set([3585, 11938, 5707, 5907, 9208, 3485]), 2525: set([3972, 233, 12208, 5586, 12372, 3966]), 2527: set([705, 5155, 2410, 2580, 1656, 7162]), 2528: set([12737, 4003, 12391, 7605, 11062, 12411]), 2530: set([11206, 876, 6445, 7981, 184, 4089, 8282]), 2531: set([1703, 1581, 9329, 7253, 13111, 10075]), 2532: set([9736, 876, 7022, 184, 4089, 4667]), 2533: set([1729, 5863, 876, 7981, 6130, 4089, 4667]), 2534: set([8421, 2001, 6122, 10705, 12861, 4414]), 2535: set([9185, 5538, 12182, 1800, 1161, 12110, 2673, 1940, 3894, 13321, 6452, 7132]), 2536: set([360, 7178, 1390, 692, 7156, 6910]), 2537: set([13189, 2407, 7371, 4880, 13012, 3388, 2078]), 2539: set([2368, 1317, 11111, 12337, 8026, 2748]), 2540: set([12098, 7209, 12180, 13365, 8121, 12574]), 2541: set([5072, 2178, 5699, 3542, 5032, 66, 6288, 10993, 498, 5558, 1656, 4411, 734, 7423]), 2542: set([2891, 876, 6445, 2229, 184, 4089]), 2543: set([4769, 7554, 12708, 5926, 6378, 4467, 10687]), 2544: set([1634, 9379, 3495, 10123, 6978, 2271]), 2545: set([12546, 9060, 1510, 8905, 2861, 1938, 3740]), 2546: set([201, 203, 9498, 2363, 3550, 3519]), 2547: set([3491, 10021, 6985, 7597, 10354, 13016, 9054, 799]), 2548: set([12768, 3917, 4816, 11448, 7698, 5907, 8216, 891, 3679]), 2549: set([10464, 2979, 9542, 902, 7253, 13111, 6489, 5211, 11605]), 2551: set([6177, 10934, 5030, 1703, 3532, 7187, 726]), 2554: set([8132, 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6546, 4183, 668, 2751]), 2582: set([2666, 8235, 4882, 12754, 4850, 3219, 503, 9651, 10970, 5211, 11998, 5119]), 2583: set([5872, 11152, 2810, 2235, 2554]), 2584: set([11873, 5506, 3716, 7974, 4668]), 2585: set([5160, 6681, 11396, 1926, 12271]), 2586: set([6784, 995, 4337, 6770, 7160, 1406]), 2589: set([1227, 13007, 11506, 467, 7162, 314]), 2591: set([7843, 1706, 976, 6065, 1656, 7162, 796, 2410]), 2592: set([6624, 5474, 5892, 12775, 9481, 5076, 1400]), 2595: set([1729, 876, 7981, 10575, 6130, 2229, 184, 4089, 4667, 13309]), 2596: set([7169, 6823, 11281, 2388, 10964, 11323, 11325]), 2597: set([7843, 358, 1706, 1227, 2831, 980, 5365, 1656, 7162]), 2598: set([5699, 4070, 9262, 7299, 5946, 5627, 4287]), 2599: set([6146, 13188, 13322, 2736, 13042, 9752]), 2600: set([6433, 963, 12036, 10022, 5963, 6098, 12631]), 2601: set([1881, 6907, 869, 10062]), 2605: set([982, 10729, 3500, 10128, 4117, 10710, 4575]), 2607: set([3396, 6246, 6377, 11692, 12818, 2271]), 2609: set([819, 10006, 602, 10811, 6042, 12638, 2271]), 2611: set([8225, 7183, 3919, 10002, 10639, 10459]), 2612: set([2821, 12934, 8331, 782, 917, 2207, 3232, 2728, 1864, 9929, 8635, 8252, 447, 8642, 6853, 9030, 3425, 1224, 6729, 6987, 462, 5202, 5588, 10069, 6358, 1117, 2377, 3296, 2913, 3810, 1126, 7143, 2922, 10855, 8430, 3189, 9724]), 2613: set([8201, 12906, 6289, 9274, 5467, 1310]), 2614: set([1099, 12077, 1551, 7185, 5907, 3547, 5148]), 2616: set([12987, 389, 872, 1745, 2007, 9563]), 2617: set([9922, 10539, 208, 3377, 3510, 3770]), 2618: set([5568, 2887, 5192, 7003, 13373, 9119]), 2619: set([5729, 13250, 6723, 3141, 4426, 2509, 4191]), 2620: set([7978, 9618, 11823, 9968, 11346, 12669, 7294]), 2621: set([5539, 8036, 5574, 12262, 7885, 6766, 8621, 6800, 9528, 7186, 4696, 9721, 4922, 5999, 8472]), 2622: set([1472, 11905, 10467, 12773, 6567, 12104, 969, 5803]), 2626: set([1729, 876, 10575, 9360, 6130, 4667]), 2628: set([2178, 2410, 12978, 12949, 1656, 156]), 2629: set([544, 8484, 4871, 4081, 11033, 4059]), 2631: 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2142]), 2928: set([2121, 4908, 8280, 2106, 4892, 734]), 2930: set([7843, 1092, 11241, 1706, 976, 7035]), 2931: set([11308, 5136, 3793, 12888, 13274, 6906]), 2932: set([4769, 13378, 1656, 1386, 2574, 7857, 7158, 1848, 7162]), 2933: set([4228, 6638, 4880, 3090, 84, 668]), 2934: set([9575, 2410, 7725, 2127, 9040, 2002, 1656]), 2935: set([4739, 517, 11991, 5006, 3216, 67, 7573, 2458, 11421, 12703, 7841, 7587, 12324, 550, 9511, 10920, 7724, 2093, 7598, 9117, 11314, 10044, 11838, 1346, 6083, 971, 3153, 9598, 11860, 8150, 1879, 3544, 8154, 7773, 11744, 5987, 12517, 3430, 6120, 3437, 111, 8048, 8680, 12404, 13310, 6519, 12500, 11518]), 2936: set([2410, 12560, 10161, 13014, 1656, 5883]), 2938: set([6920, 1981, 12151, 890, 9244, 3453]), 2939: set([13059, 8132, 326, 360, 8439, 11204]), 2940: set([11011, 8358, 7462, 13288, 9234, 12476]), 2944: set([5152, 7585, 12001, 2632, 11402, 12552, 8408, 1337]), 2946: set([7653, 1706, 8107, 3980, 2969, 7162, 796]), 2950: set([12908, 876, 6125, 10575, 9360, 6130, 4089]), 2951: set([7761, 9823, 13269, 2310, 10793]), 2956: set([1665, 3010, 9510, 12108, 5038, 9041, 9427, 12885, 4537, 12123, 8284, 9087]), 2957: set([8643, 10, 4303, 3294, 2234, 11998]), 2960: set([805, 3026, 2256, 10929, 8274, 27]), 2961: set([227, 8485, 8327, 10249, 3115, 3662, 12943, 12433, 12562, 3542, 6746, 2365]), 2962: set([864, 2177, 11308, 7614, 9369, 11998]), 2964: set([12931, 9860, 923, 10902, 6648, 3611]), 2969: set([7169, 9189, 8811, 8780, 3377, 11323]), 2971: set([10539, 3510, 11351, 3770, 6811, 9244]), 2973: set([7716, 4718, 2288, 4468, 277, 9594]), 2976: set([3809, 7843, 1706, 1019, 5339, 3870]), 2977: set([10401, 4100, 8615, 2343, 9607, 5362]), 2979: set([481, 5155, 41, 6319, 11440, 10967, 4094]), 2980: set([8291, 5668, 3148, 3917, 12821, 13111]), 2981: set([3881, 2410, 9208, 11858, 7158, 1656, 5594]), 2982: set([2180, 7816, 2410, 2574, 7857, 5173, 1656, 5081, 3706, 7162, 9080]), 2983: set([992, 8958, 2818, 9467, 7012, 1592, 8519, 12270, 5547, 9420, 6478, 2991, 11089, 7731, 9127, 13400, 2393, 1167, 9022, 799]), 2987: set([5985, 9158, 6832, 5911, 9435, 5662]), 2988: set([6304, 6630, 2022, 7304, 2802, 10015]), 2989: set([4667, 667, 876, 6125, 10575, 4089, 11835]), 2992: set([8072, 12227, 11461, 12488, 4490, 11570, 3121, 8338, 9013, 536, 58, 1439]), 2995: set([1280, 7521, 1027, 6601, 11403, 10029, 2323, 12916, 726, 10995, 9564, 8927, 476, 3517, 4319]), 2996: set([12449, 9540, 4778, 11985, 8062, 13111, 6489, 2524, 4441]), 2998: set([11206, 876, 10575, 2934, 184, 4089]), 3000: set([6432, 11791, 2000, 11793, 6265, 10076]), 3002: set([11265, 3588, 517, 6297, 11936, 6443, 2223, 12592, 2142, 6845, 7880, 8268, 3023, 9301, 13398, 11867, 5596, 8157, 7773, 4962, 6120, 2544, 8680, 12534, 3705, 1659, 1148, 6654]), 3005: set([9250, 5081, 5108, 5173, 8759, 1656, 11289]), 3006: set([6912, 6178, 8643, 10892, 6419, 12888]), 3007: set([7169, 9933, 910, 2160, 11281, 1400, 4607]), 3008: set([96, 10082, 7974, 9544, 10793, 12226, 7056, 5938, 12499, 13269, 11958, 9823]), 3009: set([5155, 1706, 7843, 1656, 7162, 796]), 3010: set([4513, 4226, 1581, 13390, 7253, 9208]), 3012: set([11245, 12500, 574, 12406, 439, 6654]), 3013: set([10721, 4923, 3396, 2149, 819]), 3014: set([1029, 8201, 9868, 12909, 7150, 10095, 10324, 6038, 3503, 3045]), 3015: set([4648, 1581, 6542, 11760, 2809, 4604]), 3016: set([2017, 2178, 3747, 72, 9225, 6288, 2923, 10402, 3022, 5200, 8971, 12978, 8147, 9588, 1656, 5980, 12158]), 3018: set([11876, 12585, 10839, 4172, 11053, 4919]), 3019: set([5832, 2897, 7226, 3091, 7162]), 3021: set([8096, 12932, 7857, 3542, 7162, 2875]), 3023: set([3908, 13383, 622, 13105, 12888, 11998]), 3026: set([7488, 6113, 10218, 2251, 11767, 12825]), 3028: set([6049, 2178, 6339, 6212, 2059, 10348, 11490, 8431, 11505, 11858, 9011, 9333]), 3031: set([3656, 5809, 10132, 5334, 1780, 10078, 5055]), 3032: set([9762, 3908, 11342, 7535, 5136, 9526]), 3033: set([3234, 203, 3277, 9498, 3550, 12447]), 3036: set([2562, 10245, 1386, 3503, 13107, 8344, 10687]), 3039: set([1634, 9379, 8292, 939, 10123, 8594]), 3041: set([3542, 5558, 12822, 5400, 4122, 4287]), 3042: set([4929, 11334, 6216, 13357, 9936, 181, 6044]), 3043: set([869, 1229, 9423, 9492, 24, 11164, 13022]), 3044: set([9057, 11468, 3570, 11348, 22, 10039]), 3046: set([10082, 1435, 6449, 4008, 12527, 208, 689, 2819, 12189, 3256, 3770, 11323, 11535, 11325]), 3048: set([10371, 8678, 8458, 6194, 412, 5277]), 3049: set([10984, 4395, 2415, 10482, 6996, 4958]), 3050: set([12902, 1581, 4238, 11901, 4498, 54, 7450, 10235, 11802]), 3051: set([1283, 3881, 2506, 2860, 7795, 7158]), 3055: set([7204, 11206, 876, 6863, 12177, 8180, 4667, 669, 1503]), 3056: set([5218, 7846, 2866, 6292, 2293, 4889, 1788]), 3057: set([7589, 10609, 7768, 6011, 7516, 5373]), 3059: set([6081, 13412, 5308, 8236, 11801, 13244]), 3060: set([3904, 1861, 10675, 9242, 12252, 3802]), 3062: set([11713, 11682, 6211, 2151, 1692, 3864, 8012, 8845, 1902, 10269, 2961, 11410, 9715, 7310, 3859, 10490, 3356, 8378]), 3063: set([5344, 8260, 10444, 6804, 7453, 9247]), 3065: set([7843, 7748, 1706, 1656, 7162, 796, 6975]), 3068: set([1729, 11206, 876, 9360, 6130, 184, 4089, 4667]), 3069: set([11206, 876, 6445, 12467, 184, 4089, 4667]), 3070: set([8128, 1217, 10395, 1927, 9736, 3593, 2698, 12711, 876, 6445, 3119, 8721, 4089, 1729, 4667]), 3071: set([7169, 2819, 8811, 3377, 11027, 3770, 11323, 11325]), 3074: set([5856, 12435, 10987, 10833, 3987, 7253, 54, 12823, 9208, 88, 4122, 188, 5400]), 3076: set([11206, 876, 10575, 6130, 4089, 4667]), 3077: set([7141, 1766, 4622, 13008, 4312, 11397]), 3079: set([4486, 2189, 11758, 3917, 7857, 4122, 7930, 476, 9501]), 3080: set([1729, 4667, 3593, 876, 10575, 9751, 667]), 3083: set([9504, 8003, 11692, 10737, 3795, 1813, 2935]), 3084: set([13024, 2496, 4817, 5669, 7553, 11464, 7529, 10922, 619, 8749, 11951, 12017, 4499, 12052, 13206, 7712, 2289, 5238, 9029]), 3086: set([6784, 9012, 1656, 7162, 5883, 10207]), 3087: set([192, 4866, 7339, 7663, 1104, 10420, 6069, 4983, 5561, 2005]), 3088: set([9477, 6245, 9802, 525, 4911, 3604, 2615, 3461]), 3089: set([6406, 10481, 8980, 149, 10138, 2203, 4003, 5798, 10919, 11944, 9005, 1340, 10046, 12610, 6599, 11849, 1616, 11619, 3563, 8488, 7415, 11000, 11259]), 3090: set([9736, 876, 6130, 184, 4089, 8282]), 3093: set([8680, 12777, 8268, 494, 6202, 7773]), 3097: set([10724, 10405, 3944, 3420, 10072, 2428]), 3098: set([9067, 3053, 1038, 6319, 9008, 185, 7291]), 3099: set([6593, 3771, 9797, 2735, 9138, 4755, 9497, 9103]), 3105: set([5196, 6127, 720, 10037, 7126, 7679]), 3106: set([10057, 9552, 3761, 5621, 3703, 541]), 3107: set([2410, 1392, 1656, 5081, 7162, 9210]), 3108: set([7843, 1189, 1706, 2410, 1656, 7162, 796, 4202]), 3109: set([1250, 3011, 7144, 12044, 11051, 8748, 8500, 9020]), 3112: set([5863, 876, 7981, 9360, 184, 4089]), 3114: set([2410, 7158, 6327, 1656, 5594, 476]), 3117: set([13412, 8999, 360, 12875, 4908, 10261, 5308]), 3120: set([11265, 1140, 11127, 1594, 10875, 9983]), 3122: set([5922, 966, 11624, 8748, 9294, 8116, 6005, 6969, 9594, 12276]), 3124: set([6977, 10341, 5223, 2473, 6258, 12983]), 3125: set([12992, 6377, 13229, 3375, 10006, 10359]), 3126: set([4648, 7657, 13296, 5907, 4119, 1177]), 3127: set([7138, 3595, 3055, 4506, 12079, 10236]), 3129: set([1634, 10087, 1612, 2134, 10519, 2271]), 3130: set([4737, 8997, 8201, 1777, 4405, 6646, 5981]), 3135: set([3908, 3917, 7156, 5429, 4855, 5119]), 3136: set([9736, 876, 6130, 184, 4089, 4667]), 3137: set([6978, 2879, 5932, 11413, 2319]), 3138: set([11776, 1923, 1254, 1900, 5581, 2427, 7519]), 3140: set([802, 13092, 54, 9835, 5558, 4122]), 3141: set([6927, 10610, 405, 9526, 6264, 8062, 7870]), 3143: set([4151, 8844, 12434, 12982, 4663, 6296]), 3144: set([11426, 6661, 394, 604, 10238, 5631]), 3145: set([10404, 7588, 1750, 10598, 13337]), 3151: set([10083, 8497, 950, 4439, 12728, 889, 2778]), 3152: set([6053, 11398, 199, 2888, 2354, 12632]), 3153: set([10634, 7020, 8337, 12946, 8600, 8990]), 3155: set([7169, 3770, 8811, 8780, 11323]), 3157: set([10372, 7943, 11308, 12888, 13305, 11998]), 3159: set([12841, 5294, 726, 8216, 6460, 1533]), 3160: set([10976, 4641, 13154, 6853, 552, 5802, 1292, 7394, 7345, 3922, 344, 1049, 3898, 8507]), 3161: set([2410, 7638, 1656, 2745, 7162, 318]), 3163: set([296, 11726, 5007, 1297, 12025, 12603]), 3164: set([6914, 2819, 8811, 11027, 3770, 11323]), 3165: set([7843, 1092, 2410, 1656, 7162, 1706]), 3166: set([9478, 360, 4304, 7158, 2554, 5594, 1758]), 3168: set([11938, 3180, 10191, 2801, 6936, 8542]), 3170: set([2467, 10511, 3922, 9332, 11638, 12923]), 3172: set([1729, 9066, 2226, 4147, 12054, 1911]), 3173: set([7521, 3688, 3917, 1777, 3667, 8539, 3838]), 3174: set([1604, 3749, 6355, 13395, 11222, 7675]), 3175: set([12708, 2537, 6418, 4338, 4916, 5913]), 3176: set([8280, 3908, 2508, 11342, 11153, 12888, 2106, 11389, 11998]), 3177: set([2784, 12514, 12260, 10981, 2342, 3433, 4139, 10860, 11028, 4662, 1513, 2712, 4438, 10011, 6364, 10085, 9919]), 3178: set([2410, 3179, 4525, 3765, 59, 6908, 11743]), 3179: 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set([12931, 902, 2345, 9262, 13111, 6393]), 3263: set([11206, 6125, 6445, 9519, 184, 4089]), 3264: set([10279, 8234, 11950, 2607, 10006, 1802]), 3265: set([13344, 12165, 7975, 5169, 1206, 2558]), 3266: set([1730, 2410, 1183, 9474, 7385, 11354, 5883, 10207]), 3269: set([10509, 4792, 7762, 10136, 57, 10460]), 3271: set([8079, 144, 13305, 10553, 3642, 12795]), 3272: set([1729, 876, 12908, 10575, 6130, 4667]), 3273: set([11488, 9513, 11342, 8280, 2106, 11389]), 3274: set([2574, 7857, 9262, 5558, 1656, 4122, 7162, 5400, 4287]), 3275: set([12043, 3377, 10539, 208, 6449, 9244]), 3276: set([1729, 2891, 876, 7981, 2229, 9751, 4667]), 3277: set([8066, 4070, 6409, 9262, 5400, 4122]), 3278: set([13027, 5683, 11891, 7195, 3996, 9565]), 3280: set([3362, 13001, 9901, 2069, 2134, 11610, 2271]), 3281: set([11206, 5863, 876, 7981, 4667, 4254]), 3282: set([122, 5155, 876, 7981, 5262]), 3283: set([9057, 7610, 11468, 637]), 3286: set([6955, 8180, 3646, 5657, 6457, 6011, 798]), 3287: set([736, 173, 3214, 10741, 631, 11097]), 3288: set([5728, 7940, 9386, 11801, 7065, 5308]), 3289: set([547, 8105, 854, 3127, 13242, 6334]), 3290: set([5856, 4231, 1801, 7253, 726, 88, 6489, 7163]), 3291: set([3843, 9992, 265, 10668, 6830, 7151, 11848, 5155, 8729, 4795]), 3293: set([770, 6246, 9771, 4494, 3957, 11034, 4923, 602, 3742]), 3296: set([2049, 5499, 5167, 9452, 11247, 6011]), 3299: set([12065, 155, 8744, 11578, 5275, 8926]), 3301: set([5856, 737, 13378, 7521, 10833, 10165, 2075]), 3308: set([9280, 480, 11559, 6857, 1581, 13111]), 3310: set([9217, 3298, 8750, 13266, 3028, 11103]), 3312: set([3362, 10083, 1073, 9379, 10006, 12728, 2271]), 3313: set([3584, 11207, 7436, 401, 1560, 7387, 7101, 5438]), 3314: set([2410, 3346, 5749, 1656, 5081, 7162, 7163, 797, 1535]), 3315: set([8160, 9417, 10731, 11501, 8656, 2225]), 3316: set([4896, 3908, 8201, 6927, 5136, 2521, 10015]), 3317: set([6243, 6663, 9262, 5424, 2205, 8062]), 3320: set([1540, 3303, 6955, 13047, 5657, 6011, 7292, 3646]), 3321: set([10609, 7516, 413, 11565]), 3323: set([7844, 6733, 11187, 5781, 2518, 9079]), 3325: set([11234, 13383, 810, 6741, 11644, 1854]), 3326: set([2721, 3622, 2567, 8201, 3155, 1175, 1023]), 3327: set([8736, 2976, 98, 8299, 1508, 3174, 10183, 1160, 4234, 9483, 12200, 12850, 4211, 2201, 12619, 10751]), 3328: set([12130, 3126, 8614, 5671, 1000, 2793, 11719, 9084, 845, 8685, 10320, 4621, 1714, 11412, 6614, 11895, 6072, 10747, 10684, 11391]), 3329: set([7158, 2410, 822, 1656, 5594, 893]), 3331: set([4770, 7078, 6631, 8648, 6698, 8461, 9326, 5907, 9208, 4249, 2946]), 3335: set([6227, 7158, 1656, 5594, 2076, 9471]), 3336: set([11207, 1323, 7436, 401, 7387, 7101]), 3337: set([12449, 10015, 7253, 7150, 12353]), 3340: set([4070, 5907, 12821, 7735, 4090, 11357, 7103]), 3342: set([9208, 11553, 10570, 13397, 10934]), 3343: set([1986, 7747, 3523, 9786, 4061, 2559]), 3349: set([6564, 10725, 9863, 7505, 12085, 9688]), 3350: set([11206, 876, 6125, 12467, 184, 4089, 4667]), 3351: set([2464, 1250, 11911, 753, 7124, 9594]), 3354: set([7077, 7496, 3882, 2252, 9754, 8219]), 3357: set([11968, 6889, 6922, 11343, 13151, 2335]), 3361: set([774, 1070, 1656, 10520, 3804, 1535]), 3362: set([8198, 12884, 8120, 13172, 7739, 1247]), 3363: set([1730, 2180, 4934, 11399, 5099, 2671, 1656, 10520, 7162]), 3367: set([854, 2410, 3411, 5173, 7638, 1656, 5081, 7837]), 3368: set([3377, 3770, 9244, 978, 438]), 3369: set([8964, 3269, 3751, 12329, 11445, 5817, 7898, 501]), 3371: set([10277, 3407, 2231, 9432, 9593, 13212, 862]), 3373: set([12292, 1415, 7565, 4365, 8469, 8855, 4888, 794, 12957, 4901, 5296, 2107, 11557, 13003, 10189, 1614, 1037, 12241, 6750, 4709, 13413, 8307]), 3374: set([11132, 2410, 2574, 7857, 5173, 1656, 7162, 3676]), 3375: set([3608, 2786, 2619, 12931, 12821]), 3379: set([1729, 13059, 5863, 876, 13234, 6130, 4667, 4254]), 3380: set([6912, 10892, 6419, 12888, 5467, 5907]), 3381: set([2116, 8998, 9418, 9455, 4280, 11961]), 3382: set([9933, 910, 10445, 2160, 689, 9781]), 3383: set([1729, 4667, 876, 10575, 184, 4089, 667]), 3384: set([12558, 11024, 1043, 1941, 11933, 1570, 5159, 10545, 6964, 1464, 7873, 9285, 1351, 3788, 1527, 10828, 11471, 8407, 11364, 9058, 9316, 8871, 8817, 5745, 5374]), 3387: set([5893, 2599, 7599, 6965, 6934, 6557, 6617, 7933]), 3388: set([12834, 2188, 4530, 2445, 12018, 8888]), 3389: set([3542, 2574, 5400, 12822, 1656, 4287])})\n"
     ]
    }
   ],
   "source": [
    "import pprint\n",
    "eventsforuser = cPickle.load(open(\"PE_eventsForUser.pkl\",'rb'))\n",
    "pprint.pprint(eventsforuser)\n",
    "\n",
    "# import pprint, pickle\n",
    "\n",
    "# pkl_file = open('PE_eventsForUser.pkl', 'rb')\n",
    "\n",
    "# data1 = pickle.load(pkl_file)\n",
    "# pprint.pprint(data1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "defaultdict(<type 'set'>, {4: set([716]), 5: set([2466]), 7: set([1157]), 8: set([349]), 9: set([829]), 10: set([2957]), 12: set([1830]), 14: set([1759]), 18: set([2129]), 22: set([3044, 1230]), 24: set([3043]), 26: set([141]), 27: set([2960]), 28: set([19]), 31: set([781]), 33: set([1705]), 34: set([1340]), 35: set([16]), 36: set([1937]), 37: set([2834, 946]), 39: set([1437]), 41: set([2979, 1956, 2766, 2151]), 42: set([344]), 43: set([2739]), 45: set([1340]), 46: set([2643]), 48: set([453]), 49: set([2768]), 50: set([665]), 51: set([1123]), 52: set([2677]), 53: set([2265]), 54: set([3258, 3140, 3050, 3074]), 56: set([1990]), 57: set([3269]), 58: set([2992]), 59: set([3178]), 60: set([2777]), 62: set([3238]), 63: set([2485]), 65: set([1448]), 66: set([2541]), 67: set([2935]), 68: set([814]), 69: set([562]), 70: set([2285]), 71: set([1737, 98]), 72: set([3016]), 74: set([1823]), 76: set([2079]), 79: set([860]), 80: set([1059, 3182]), 81: set([2058]), 82: set([959]), 83: set([129, 2402, 1285, 1319, 1065, 2417, 217, 1148]), 84: set([2933]), 86: set([1669]), 88: set([1025, 3074, 1673, 2707, 1818, 927, 674, 2523, 823, 3256, 2874, 827, 63, 1349, 1094, 1097, 2123, 1494, 1752, 3290, 2779, 222, 608, 1121, 2156, 2925, 2802, 380]), 89: set([1686]), 90: set([938]), 93: set([2097]), 94: set([3256]), 95: set([2475]), 96: set([3008]), 98: set([3327]), 100: set([212]), 101: set([2797]), 102: set([2410]), 103: set([782]), 105: set([249]), 107: set([305]), 108: set([1325]), 111: set([2935]), 112: set([1290]), 113: set([2717]), 114: set([1080]), 116: set([1144]), 117: set([2401, 2347]), 118: set([2853]), 121: set([806]), 122: set([3282]), 125: set([1775]), 129: set([323]), 131: set([1824]), 132: set([1137, 1194, 206, 1119]), 137: set([1040]), 138: set([164]), 139: set([2068, 1111]), 140: set([559]), 141: set([1946, 804]), 142: set([1285, 2045]), 144: set([3271, 932, 37, 150, 1871]), 146: set([2305]), 148: set([680]), 149: set([3089, 909]), 150: set([1775]), 151: set([2397]), 153: set([1805]), 154: set([2427]), 155: set([3299, 939]), 156: set([1697, 995, 2628, 2086, 113, 306, 2872, 2554]), 157: set([2573]), 164: set([3216]), 165: set([1564]), 166: set([667]), 169: set([319]), 170: set([1280, 211, 1645]), 173: set([3287]), 175: set([1324]), 177: set([1562]), 178: set([1816]), 179: set([2647]), 181: set([3042]), 182: set([2739]), 183: set([93]), 184: set([1728, 2691, 2183, 392, 1289, 3069, 1037, 2575, 1936, 1425, 3090, 771, 20, 1262, 3350, 687, 542, 2335, 1314, 2595, 3112, 2346, 301, 1838, 2863, 1331, 2998, 1463, 2234, 446, 3263, 3136, 1732, 197, 1223, 3383, 2530, 2770, 1619, 2057, 1636, 1039, 95, 736, 2658, 2532, 1771, 1254, 487, 1257, 618, 615, 1069, 2542, 2415, 2728, 1171, 1272, 633, 122, 3068, 554, 1663]), 185: set([3098, 2331, 1690]), 187: set([550]), 188: set([1712, 1273, 3074]), 189: set([1810]), 190: set([1115]), 191: set([1807]), 192: set([3087]), 194: set([1195]), 195: set([360]), 196: set([47]), 197: set([1309]), 198: set([1762]), 199: set([3152]), 201: set([2569, 2546]), 202: set([849]), 203: set([3033, 2546]), 205: set([241]), 206: set([2328]), 207: set([525, 2231]), 208: set([1920, 801, 2852, 3046, 166, 39, 2762, 3275, 2448, 2323, 2617, 3194, 2684, 1215]), 210: set([2783]), 211: set([975]), 213: set([1212]), 214: set([1141]), 220: set([2694, 930, 381, 2030, 1533]), 221: set([617]), 223: set([1212]), 226: set([1325]), 227: set([2961]), 228: set([2459]), 231: set([2877]), 232: set([277]), 233: set([2525]), 237: set([849, 1147, 653]), 245: set([1834, 2243]), 246: set([1535]), 247: set([368]), 248: set([2243]), 250: set([1822]), 254: set([430]), 255: set([745]), 256: set([850]), 257: set([2321]), 258: set([883]), 259: set([1245]), 260: set([860]), 261: set([535]), 262: set([2784, 102]), 264: set([2741]), 265: set([3291, 2555]), 267: set([812]), 269: set([2640]), 270: set([1984]), 271: set([2466]), 272: set([419]), 273: set([8]), 274: set([1161]), 275: set([1775]), 277: set([2083, 2973]), 278: set([2459]), 281: set([1412]), 282: set([1867]), 283: set([1022]), 287: set([1247]), 288: set([2287]), 289: set([996]), 290: set([2466]), 293: set([1296]), 294: set([2056, 1535]), 295: set([19]), 296: set([3163]), 297: set([1974]), 302: set([984]), 303: set([1905]), 304: set([1541]), 305: set([2419]), 308: set([228]), 309: set([1381]), 310: set([2466]), 311: set([2842]), 312: set([2507]), 313: set([1442, 1943]), 314: set([2589]), 317: set([2287]), 318: set([3161]), 319: set([2328]), 320: set([2841]), 321: set([297, 3203, 1500, 169]), 324: set([764]), 326: set([2939]), 327: set([2491]), 329: set([403]), 332: set([1816]), 333: set([847]), 334: set([2040]), 335: set([2277]), 336: set([1999]), 338: set([550]), 339: set([1756]), 341: set([897]), 344: set([912, 2059, 868, 2761, 619, 1708, 430, 1775, 2768, 393, 3160, 1212, 1501, 2430]), 345: set([2780]), 346: set([2446]), 347: set([2485]), 348: set([1721]), 349: set([140]), 350: set([605]), 351: set([64]), 352: set([2822]), 356: set([835]), 357: set([2355, 973]), 358: set([2597, 2790, 1384, 42, 1071, 2897, 147]), 359: set([3182]), 360: set([3200, 194, 1796, 1285, 1926, 2536, 1417, 2379, 3117, 1442, 1246, 3166, 1466, 2939, 2908, 1854]), 361: set([600, 432, 796]), 362: set([2666]), 363: set([2504]), 364: set([29, 2686]), 365: set([1268]), 366: set([2388]), 367: set([3207]), 368: set([260]), 371: set([1581]), 372: set([1501]), 373: set([454, 1487, 1841, 1017, 1978, 827]), 375: set([848]), 377: set([728, 881, 719]), 378: set([2632, 2667, 595]), 380: set([3200]), 381: set([2899]), 383: set([35]), 384: set([2717]), 385: set([891, 2108]), 386: set([800, 2223]), 388: set([2367]), 389: set([2616]), 390: set([2227]), 391: set([2784, 559]), 393: set([776]), 394: set([3144, 1594, 1983]), 395: set([1611]), 397: set([503]), 398: set([2748]), 400: set([2277]), 401: set([3336, 3313]), 405: set([240, 2779, 3141]), 406: set([2892]), 407: set([801, 39]), 408: set([2117]), 411: set([1034, 380, 458]), 412: set([3048]), 413: set([3321, 1434, 1245, 1095]), 415: set([257]), 417: set([740]), 419: set([1293]), 420: set([2892]), 421: set([1830]), 422: set([1200]), 423: set([2815]), 426: set([2509]), 427: set([845]), 430: set([2316]), 433: set([416]), 434: set([119]), 435: set([2438]), 436: set([697]), 437: set([1527]), 438: set([3368, 1474, 1997]), 439: set([3012, 573]), 440: set([1493]), 441: set([814]), 442: set([1624, 605]), 444: set([411]), 445: set([2753]), 447: set([2612]), 449: set([1127]), 450: set([533]), 451: set([745, 2567]), 452: set([843]), 453: set([2043]), 455: set([2577]), 456: set([2168, 1363]), 457: set([853]), 458: set([2074]), 461: set([2216]), 462: set([2612]), 463: set([1759]), 464: set([2491]), 465: set([1123]), 466: set([2072]), 467: set([195, 2589]), 468: set([2815]), 469: set([2259, 1230]), 470: set([2384]), 472: set([610]), 473: set([1999]), 476: set([578, 3114, 1306, 2460, 422, 3079, 617, 2474, 759, 2754, 1646, 82, 2995, 1140, 2711, 1912, 442, 2364, 2653, 1938, 671]), 477: set([1943]), 478: set([518]), 480: set([3308]), 481: set([2343, 2979, 1179, 2639]), 483: set([2644]), 484: set([2332]), 485: set([1530]), 488: set([989]), 489: set([3250]), 492: set([401]), 493: set([2111]), 494: set([3093, 2182]), 496: set([262]), 498: set([2541]), 499: set([1665]), 500: set([2523]), 501: set([3369]), 502: set([2321]), 503: set([2582]), 505: set([2388]), 506: set([812]), 507: set([83]), 508: set([2007]), 509: set([142]), 510: set([268]), 511: set([259]), 512: set([1014]), 513: set([471]), 514: set([573]), 515: set([1325]), 517: set([3002, 2935]), 518: set([797]), 519: set([707]), 521: set([2906]), 522: set([1059]), 524: set([1351]), 525: set([3088]), 526: set([2196]), 529: set([845]), 530: set([938]), 534: set([826, 3190]), 535: set([1626, 1581]), 536: set([2992]), 538: set([1321]), 539: set([2168]), 540: set([1990]), 541: set([3106]), 542: set([974]), 543: set([1581]), 544: set([2629]), 545: set([1325]), 546: set([78]), 547: set([3289, 391]), 549: set([2123]), 550: set([2935]), 551: set([1383]), 552: set([3160, 393, 1406]), 553: set([2784, 74]), 554: set([362]), 556: set([1729]), 557: set([2915]), 558: set([703]), 559: set([1400]), 560: set([2724, 2110]), 562: set([2400]), 566: set([341]), 567: set([873, 1988]), 568: set([466]), 571: set([278]), 573: set([2926]), 574: set([3012]), 576: set([630]), 577: set([946]), 578: set([1807]), 579: set([2856]), 580: set([664, 1002, 819]), 582: set([3232]), 583: set([2739]), 584: set([514]), 585: set([1905]), 586: set([1675]), 590: set([2446]), 591: set([282]), 593: set([1190]), 596: set([983]), 597: set([3240]), 598: set([510]), 599: set([483]), 601: set([1676]), 602: set([1664, 1893, 966, 3246, 2609, 2490, 3293]), 604: set([3144]), 605: set([433]), 607: set([1996]), 609: set([2915]), 610: set([2666]), 611: set([241]), 615: set([981]), 616: set([2304, 748]), 618: set([369]), 619: set([3084]), 620: set([2499]), 621: set([19]), 622: set([3023]), 623: set([2426]), 624: set([2755]), 625: set([305]), 628: set([1831]), 631: set([3287]), 633: set([559]), 634: set([2505]), 636: set([573]), 637: set([3283]), 638: set([2466]), 640: set([1500]), 641: set([1587]), 642: set([2176, 1594]), 643: set([2783]), 645: set([628]), 646: set([946, 1831, 2813, 1621]), 648: set([776]), 649: set([275]), 651: set([14]), 652: set([2778]), 654: set([1029]), 659: set([457]), 662: set([2274]), 664: set([993]), 667: set([165, 3080, 95, 2989, 1076, 2709, 3383, 538, 2683, 92, 2911]), 668: set([1501, 868, 2581, 1694, 2933]), 669: set([672, 1147, 342, 3055]), 671: set([1539, 1989]), 672: set([847]), 674: set([1306, 635, 926]), 675: set([249]), 676: set([259]), 680: set([1849]), 681: set([1972]), 682: set([471]), 683: set([110]), 684: set([1288]), 685: set([1141]), 686: set([1756]), 688: set([1651]), 689: set([3046, 1484, 2667, 2380, 719, 1180, 595, 3382, 1719, 1913, 476, 2046, 2559]), 691: set([605]), 692: set([3200, 1285, 2536, 1417, 1329, 2174]), 693: set([503]), 696: set([1054]), 697: set([1115]), 698: set([776]), 699: set([2455]), 700: set([1694]), 702: set([1417]), 703: set([2154]), 704: set([59]), 705: set([2914, 2790, 42, 2126, 2521, 2527]), 706: set([1720]), 707: set([3202]), 709: set([2778, 974]), 710: set([2572]), 711: set([1996]), 712: set([275]), 714: set([1890]), 716: set([2193]), 717: set([493]), 719: set([1040]), 720: set([3105]), 722: set([317]), 726: set([2048, 361, 1002, 2551, 1853, 2995, 3159, 2040, 1111, 3290]), 727: set([2727]), 728: set([909]), 729: set([532]), 733: set([2815]), 734: set([2928, 252, 2541]), 735: set([1415]), 736: set([3287]), 737: set([3301, 2318, 1075, 629, 664, 926]), 739: set([1708]), 742: set([2688]), 743: set([75]), 748: set([1581]), 749: set([11]), 750: set([1325]), 751: set([1374]), 752: set([255]), 753: set([2795, 2668, 3351]), 754: set([288]), 755: set([1533]), 756: set([1346]), 757: set([1835]), 760: set([914]), 763: set([2797]), 767: set([1927]), 768: set([1867]), 769: set([1485]), 770: set([3293]), 774: set([3361]), 775: set([89]), 776: set([2233, 75]), 778: set([2466]), 781: 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set([1542]), 13232: set([764]), 13233: set([821]), 13234: set([3379]), 13235: set([2355]), 13236: set([825]), 13237: set([2035]), 13238: set([2700]), 13239: set([1649]), 13242: set([3289]), 13244: set([3059, 1959]), 13245: set([720]), 13246: set([1694]), 13247: set([2435]), 13248: set([202]), 13250: set([2619]), 13251: set([2339]), 13252: set([1587]), 13253: set([1325]), 13254: set([637]), 13255: set([827]), 13257: set([543]), 13262: set([2917]), 13263: set([2815]), 13264: set([707]), 13265: set([1586]), 13266: set([3310]), 13267: set([1972]), 13268: set([1461]), 13269: set([3008, 2951]), 13270: set([840]), 13272: set([2340]), 13273: set([810]), 13274: set([2931]), 13276: set([2451]), 13277: set([1613]), 13278: set([914]), 13281: set([1833]), 13283: set([2482]), 13284: set([2203]), 13285: set([2729]), 13287: set([2842]), 13288: set([2940]), 13289: set([1972]), 13291: set([1415]), 13292: set([110]), 13294: set([1014]), 13295: set([212]), 13296: set([3126]), 13298: set([1611]), 13299: set([1181]), 13300: set([2814]), 13302: set([661]), 13304: set([3216]), 13305: set([1849, 3271, 3157, 1871]), 13306: set([1460]), 13308: set([310]), 13309: set([736, 2595, 1257, 1171, 2057, 447]), 13310: set([2935]), 13312: set([919]), 13314: set([2231]), 13316: set([1427]), 13317: set([1708]), 13318: set([1867]), 13319: set([1161]), 13320: set([19]), 13321: set([2535]), 13322: set([2304, 748, 990, 2599]), 13323: set([2244]), 13324: set([1810]), 13326: set([2815]), 13329: set([1185]), 13331: set([2052]), 13333: set([993]), 13335: set([1542]), 13336: set([189]), 13337: set([3145]), 13338: set([516]), 13340: set([758]), 13341: set([1853]), 13342: set([2644, 150]), 13343: set([3193]), 13344: set([3265, 1343]), 13348: set([2761]), 13353: set([1903]), 13355: set([613]), 13356: set([1148]), 13357: set([3042]), 13358: set([2812]), 13359: set([1161]), 13360: set([1334]), 13364: set([738]), 13365: set([2540]), 13367: set([343]), 13370: set([1399]), 13371: set([1160, 1239]), 13373: set([2618]), 13376: set([820]), 13377: set([1590]), 13378: set([2400, 609, 3301, 391, 681, 2154, 174, 1744, 2932, 1301, 374, 2168, 244, 1435, 458, 2495]), 13380: set([2246]), 13382: set([1155]), 13383: set([669, 1285, 3023, 1424, 243, 2102, 1658, 3325, 2174]), 13384: set([1398]), 13385: set([782]), 13386: set([460]), 13387: set([430]), 13389: set([1725]), 13390: set([3010, 2156]), 13394: set([2246]), 13395: set([3174]), 13397: set([2040, 614, 45, 3342, 2853]), 13398: set([3002, 1212]), 13399: set([108]), 13400: set([2983]), 13403: set([1221]), 13404: set([1384]), 13406: set([706]), 13407: set([35]), 13409: set([1564]), 13410: set([524]), 13412: set([3117, 2449, 3059, 789, 605, 1246]), 13413: set([3373]), 13414: set([1665]), 13416: set([1539, 11]), 13417: set([2419])})\n"
     ]
    }
   ],
   "source": [
    "users = cPickle.load(open('PE_usersForEvent.pkl','rb'))\n",
    "pprint.pprint(users)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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